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<blockquote data-quote="MaD-DoC" data-source="post: 2312716" data-attributes="member: 56284">900 has a base 5 representation that begins with its base 9 representation. &nbsp; &nbsp; &nbsp; 901 is the sum of the digits of the first 100 positive integers. &nbsp; &nbsp; &nbsp; 902 is a value of n so that n(n+7) is a palindrome. &nbsp; &nbsp; &nbsp; 903 ??? &nbsp; &nbsp; &nbsp; 904 has a cube that is the sum of 3 positive cubes. &nbsp; &nbsp; &nbsp; 905 is the smallest composite number that is not the sum of a prime and a power of 2. &nbsp; &nbsp; &nbsp; 906 is the number of perfect graphs with 7 vertices. &nbsp; &nbsp; &nbsp; 907 is the largest n so that Q(√n) has class number 3. &nbsp; &nbsp; &nbsp; 908 ??? &nbsp; &nbsp; &nbsp; 909 is a value of n that has has no digits in common with 2n, 3n, 4n, 5n, 6n, 7n, 8n, or 9n. &nbsp; &nbsp; &nbsp; 910 is the generalized Catalan number C(11,4). &nbsp; &nbsp; &nbsp; 911 is the American emergency number. &nbsp; &nbsp; &nbsp; 912 is a Pentanacci number. &nbsp; &nbsp; &nbsp; 913 has exactly the same digits in 3 different bases. &nbsp; &nbsp; &nbsp; 914 is the number of binary rooted trees with 15 vertices. &nbsp; &nbsp; &nbsp; 915 ??? &nbsp; &nbsp; &nbsp; 916 is a strobogrammatic number. &nbsp; &nbsp; &nbsp; 917 is the only positive number known whose 9th power can be written as the sum of ten 9th powers. &nbsp; &nbsp; &nbsp; 918 is a number that does not have any digits in common with its cube. &nbsp; &nbsp; &nbsp; 919 is the smallest number which is not the difference between palindromes. &nbsp; &nbsp; &nbsp; 920 is a truncated cube number. &nbsp; &nbsp; &nbsp; 921 ??? &nbsp; &nbsp; &nbsp; 922 = 1234 in base 9. &nbsp; &nbsp; &nbsp; 923 multiplied by its successor gives a number concatenated with itself. &nbsp; &nbsp; &nbsp; 924 is the 6th central binomial coefficient. &nbsp; &nbsp; &nbsp; 925 is the number of partitions of 37 in which no part occurs only once. &nbsp; &nbsp; &nbsp; 926 is the smallest number that can not be formed using the digits 1-6 at most once, with the operators +, –, ×, ÷, and ^. &nbsp; &nbsp; &nbsp; 927 is the 13th tribonacci number. &nbsp; &nbsp; &nbsp; 928 ??? &nbsp; &nbsp; &nbsp; 929 is a Proth prime. &nbsp; &nbsp; &nbsp; 930 is the number of even permutations on 7 elements with no fixed points. &nbsp; &nbsp; &nbsp; 931 ??? &nbsp; &nbsp; &nbsp; 932 ??? &nbsp; &nbsp; &nbsp; 933 is a house number. &nbsp; &nbsp; &nbsp; 934 has a 5th root that starts 3.25252225.... &nbsp; &nbsp; &nbsp; 935 is a Lucas-Carmichael number. &nbsp; &nbsp; &nbsp; 936 is a pentagonal pyramidal number. &nbsp; &nbsp; &nbsp; 937 ??? &nbsp; &nbsp; &nbsp; 938 ??? &nbsp; &nbsp; &nbsp; 939 has a cube root whose decimal part starts with the digits 1-9 in some order. &nbsp; &nbsp; &nbsp; 940 is the maximum number of regions space can be divided into by 15 spheres. &nbsp; &nbsp; &nbsp; 941 is the smallest number which is the reverse of the sum of its proper substrings. &nbsp; &nbsp; &nbsp; 942 is the smallest number whose cube contains five 8's. &nbsp; &nbsp; &nbsp; 943 is a Lucas 6-step number. &nbsp; &nbsp; &nbsp; 944 is the smallest number so that it and the next 2 numbers have 5 prime factors (counted with multiplicity). &nbsp; &nbsp; &nbsp; 945 is the smallest odd abundant number. &nbsp; &nbsp; &nbsp; 946 is a hexagonal pyramidal number. &nbsp; &nbsp; &nbsp; 947 ??? &nbsp; &nbsp; &nbsp; 948 is the number of symmetric plane partitions of 24. &nbsp; &nbsp; &nbsp; 949 is the larger number in a Ruth-Aaron pair. &nbsp; &nbsp; &nbsp; 950 is the generalized Catalan number C(17,3). &nbsp; &nbsp; &nbsp; 951 is the number of functions from 8 unlabeled points to themselves. &nbsp; &nbsp; &nbsp; 952 = 93 + 53 + 23 + 9 × 5 × 2. &nbsp; &nbsp; &nbsp; 953 is the largest prime factor of 54321. &nbsp; &nbsp; &nbsp; 954 ??? &nbsp; &nbsp; &nbsp; 955 is the number of ways to to arrange the numbers 1-9 around a circle so that the sums of adjacent numbers are distinct. &nbsp; &nbsp; &nbsp; 956 is the number of multigraphs with 16 vertices and 4 edges. &nbsp; &nbsp; &nbsp; 957 is a value of n for which σ<img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite23" alt="(n)" title="Thumbs down&nbsp; &nbsp; (n)" loading="lazy" data-shortname="(n)" /> = σ(n+1). &nbsp; &nbsp; &nbsp; 958 is the number of labeled 3-colorable graphs with 5 vertices. &nbsp; &nbsp; &nbsp; 959 is a Carol number. &nbsp; &nbsp; &nbsp; 960 is the sum of its digits and the cube of its digits. &nbsp; &nbsp; &nbsp; 961 is a square whose digits can be rotated to give another square. &nbsp; &nbsp; &nbsp; 962 ??? &nbsp; &nbsp; &nbsp; 963 is a value of n for which π<img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite23" alt="(n)" title="Thumbs down&nbsp; &nbsp; (n)" loading="lazy" data-shortname="(n)" /> is the product of the digits of n. &nbsp; &nbsp; &nbsp; 964 is the number of 3×3 sliding puzzle positions that require exactly 12 moves to solve starting with the hole in the center. &nbsp; &nbsp; &nbsp; 965 ??? &nbsp; &nbsp; &nbsp; 966 is the Stirling number of the second kind S(8,3). &nbsp; &nbsp; &nbsp; 967 is the number of 6-digit triangular numbers. &nbsp; &nbsp; &nbsp; 968 is an Achilles number. &nbsp; &nbsp; &nbsp; 969 is a tetrahedral palindrome. &nbsp; &nbsp; &nbsp; 970 ??? &nbsp; &nbsp; &nbsp; 971 ??? &nbsp; &nbsp; &nbsp; 972 is an Achilles number. &nbsp; &nbsp; &nbsp; 973 is the number of inequivalent asymmetric Ferrers graphs with 25 points. &nbsp; &nbsp; &nbsp; 974 is the number of multigraphs with 5 vertices and 10 edges. &nbsp; &nbsp; &nbsp; 975 ??? &nbsp; &nbsp; &nbsp; 976 has a square formed by inserting a block of digits inside itself. &nbsp; &nbsp; &nbsp; 977 is a Stern prime. &nbsp; &nbsp; &nbsp; 978 ??? &nbsp; &nbsp; &nbsp; 979 is the sum of the first five 4th powers. &nbsp; &nbsp; &nbsp; 980 ??? &nbsp; &nbsp; &nbsp; 981 is the smallest number that has 5 different partitions into 3 parts with the same product. &nbsp; &nbsp; &nbsp; 982 is the number of partitions of 39 into distinct parts. &nbsp; &nbsp; &nbsp; 983 is a Wedderburn-Etherington number. &nbsp; &nbsp; &nbsp; 984 = 8 + 88 + 888. &nbsp; &nbsp; &nbsp; 985 is the 9th Pell number. &nbsp; &nbsp; &nbsp; 986 is a strobogrammatic number. &nbsp; &nbsp; &nbsp; 987 is the 16th Fibonacci number. &nbsp; &nbsp; &nbsp; 988 is the maximum number of regions a cube can be cut into with 18 cuts. &nbsp; &nbsp; &nbsp; 989 ??? &nbsp; &nbsp; &nbsp; 990 is a triangular number that is the product of 3 consecutive integers. &nbsp; &nbsp; &nbsp; 991 is a permutable prime. &nbsp; &nbsp; &nbsp; 992 is the number of differential structures on the 11-dimensional hypersphere. &nbsp; &nbsp; &nbsp; 993 is the number of paraffins with 8 carbon atoms. &nbsp; &nbsp; &nbsp; 994 is the smallest number with the property that its first 18 multiples contain the digit 9. &nbsp; &nbsp; &nbsp; 995 has a square formed by inserting a block of digits inside itself. &nbsp; &nbsp; &nbsp; 996 has a square formed by inserting a block of digits inside itself. &nbsp; &nbsp; &nbsp; 997 has a cube root that starts 9.98998998.... &nbsp; &nbsp; &nbsp; 998 is the smallest number with the property that its first 55 multiples contain the digit 9. &nbsp; &nbsp; &nbsp; 999 is a Kaprekar number. &nbsp; &nbsp; &nbsp; 1000 = 103. &nbsp; &nbsp; &nbsp; 1001 is the smallest palindromic product of 3 consecutive primes. &nbsp; &nbsp; &nbsp; 1002 is the number of partitions of 22. &nbsp; &nbsp; &nbsp; 1003 has a base 2 representation that ends with its base 3 representation. &nbsp; &nbsp; &nbsp; 1004 is a heptanacci number. &nbsp; &nbsp; &nbsp; 1005 is a decagonal pyramidal number. &nbsp; &nbsp; &nbsp; 1006 has a cube that is a concatenation of other cubes. &nbsp; &nbsp; &nbsp; 1007 is the maximum value of n so that there exist 8 denominations of stamps so that every postage from 1 to n can be paid for with at most 6 stamps. &nbsp; &nbsp; &nbsp; 1008 is the number of symmetric ways to fold a strip of 16 stamps. &nbsp; &nbsp; &nbsp; 1009 is the pseudosquare modulo 7. &nbsp; &nbsp; &nbsp; 1010 is the number of ways to tile a 5×12 rectangle with the pentominoes. &nbsp; &nbsp; &nbsp; 1011 has a square that is formed by inserting three 2's into it. &nbsp; &nbsp; &nbsp; 1012 has a square that is formed by inserting three 4's into it. &nbsp; &nbsp; &nbsp; 1013 is the number of ways 10 people can line up so that only one person has a taller person in front of him. &nbsp; &nbsp; &nbsp; 1014 is the smallest number that can be written in 7 ways as the sum of a number and the product of its non-zero digits. &nbsp; &nbsp; &nbsp; 1015 is the number of chiral invertible knots with 12 crossings. &nbsp; &nbsp; &nbsp; 1016 is a stella octangula number. &nbsp; &nbsp; &nbsp; 1019 is a value of n for which one more than the product of the first n primes is prime. &nbsp; &nbsp; &nbsp; 1020 is the number of ways to place 2 non-attacking kings on a 7×7 chessboard. &nbsp; &nbsp; &nbsp; 1021 is a value of n for which one more than the product of the first n primes is prime. &nbsp; &nbsp; &nbsp; 1022 is a Friedman number. &nbsp; &nbsp; &nbsp; 1023 is the smallest number with 4 different digits. &nbsp; &nbsp; &nbsp; 1024 is the smallest number with 11 divisors. &nbsp; &nbsp; &nbsp; 1025 is the smallest number that can be written as the sum of a square and a cube in 4 ways. &nbsp; &nbsp; &nbsp; 1026 is the number of subsets of the 22nd roots of unity that add to 1. &nbsp; &nbsp; &nbsp; 1027 is the sum of the squares of the first 8 primes. &nbsp; &nbsp; &nbsp; 1029 is the smallest order for which there are 19 groups. &nbsp; &nbsp; &nbsp; 1031 is the length of the largest repunit that is known to be prime. &nbsp; &nbsp; &nbsp; 1032 is the smallest number that can be written as the sum of a cube and a 5th power in more than one way. &nbsp; &nbsp; &nbsp; 1033 = 81 + 80 + 83 + 83. &nbsp; &nbsp; &nbsp; 1035 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals. &nbsp; &nbsp; &nbsp; 1036 = 4444 in base 6. &nbsp; &nbsp; &nbsp; 1037 is a value of n for which φ<img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite23" alt="(n)" title="Thumbs down&nbsp; &nbsp; (n)" loading="lazy" data-shortname="(n)" /> = φ(n-1) + φ(n-2). &nbsp; &nbsp; &nbsp; 1038 is the number of ways to stack 29 pennies in contiguous rows so that each penny lies on the table or on two pennies. &nbsp; &nbsp; &nbsp; 1040 is the number of ways to place 2 non-attacking bishops on a 6×6 chessboard. &nbsp; &nbsp; &nbsp; 1041 does not occur in its factorial in base 2. &nbsp; &nbsp; &nbsp; 1042 has the property that if each digit is replaced by its cube, the resulting number is a cube. &nbsp; &nbsp; &nbsp; 1043 has a 5th power that contains only digits 4 and smaller. &nbsp; &nbsp; &nbsp; 1044 is the number of graphs with 7 vertices. &nbsp; &nbsp; &nbsp; 1045 is an octagonal pyramidal number. &nbsp; &nbsp; &nbsp; 1046 is the smallest number whose cube contains 4 consecutive 4's. &nbsp; &nbsp; &nbsp; 1049 is an Eisenstein-Mersenne prime. &nbsp; &nbsp; &nbsp; 1050 is the Stirling number of the second kind S(8,5). &nbsp; &nbsp; &nbsp; 1051 is the smallest value of n for which π(8n) = n. &nbsp; &nbsp; &nbsp; 1052 has the property that placing the last digit first gives 1 more than twice it. &nbsp; &nbsp; &nbsp; 1053 divides the sum of the digits of 21053 × 1053!. &nbsp; &nbsp; &nbsp; 1054 is a value of n for which |cos<img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite23" alt="(n)" title="Thumbs down&nbsp; &nbsp; (n)" loading="lazy" data-shortname="(n)" />| is smaller than any previous integer. &nbsp; &nbsp; &nbsp; 1055 is the maximum value of n so that there exist 5 denominations of stamps so that every postage from 1 to n can be paid for with at most 10 stamps. &nbsp; &nbsp; &nbsp; 1056 is the area of the smallest non-square rectangle that can be tiled with integer-sided squares. &nbsp; &nbsp; &nbsp; 1057 is the number of idempotent functions from a set of 6 elements into itself. &nbsp; &nbsp; &nbsp; 1063 is not the sum of a square, a cube, a 4th power, and a 5th power. &nbsp; &nbsp; &nbsp; 1066 is a value of n for which 2φ<img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite23" alt="(n)" title="Thumbs down&nbsp; &nbsp; (n)" loading="lazy" data-shortname="(n)" /> = φ(n+1). &nbsp; &nbsp; &nbsp; 1067 has exactly the same digits in 3 different bases. &nbsp; &nbsp; &nbsp; 1069 is a prime that remains prime when preceded and followed by one, two, three, or four 3's. &nbsp; &nbsp; &nbsp; 1071 is the sum of 3 consecutive cubes. &nbsp; &nbsp; &nbsp; 1072 is the smallest number that can be written as the sum of 2, 3, 4, or 5 positive cubes. &nbsp; &nbsp; &nbsp; 1075 is the number of squares of functions from a set of 5 elements to itself. &nbsp; &nbsp; &nbsp; 1076 is a member of the Fibonacci-type sequence starting with 1 and 4. &nbsp; &nbsp; &nbsp; 1077 is a value of n for which n!!! + 1 is prime. &nbsp; &nbsp; &nbsp; 1078 is the number of lattices on 9 unlabeled nodes. &nbsp; &nbsp; &nbsp; 1079 is the smallest number n where either it or its neighbors are divisible by the numbers from 1 to 15. &nbsp; &nbsp; &nbsp; 1080 is the smallest number with 18 divisors. &nbsp; &nbsp; &nbsp; 1081 is a triangular number that is the product of two primes. &nbsp; &nbsp; &nbsp; 1084 is the smallest number whose English name contains all five vowels in order. &nbsp; &nbsp; &nbsp; 1086 is the number of 13-hexes with reflectional symmetry. &nbsp; &nbsp; &nbsp; 1087 is a Kynea prime. &nbsp; &nbsp; &nbsp; 1088 has a sum of digits equal to its largest prime factor. &nbsp; &nbsp; &nbsp; 1089 is one ninth of its reverse. &nbsp; &nbsp; &nbsp; 1092 is the order of a non-cyclic simple group. &nbsp; &nbsp; &nbsp; 1093 is the smallest Wieferich prime. &nbsp; &nbsp; &nbsp; 1094 is the maximum value of n so that there exist 4 denominations of stamps so that every postage from 1 to n can be paid for with at most 14 stamps. &nbsp; &nbsp; &nbsp; 1095 is the number of vertices in a Sierpinski triangle of order 6. &nbsp; &nbsp; &nbsp; 1096 is the number of subsets of {1,2,3,...,14} that have a sum divisible by 15. &nbsp; &nbsp; &nbsp; 1097 is the closest integer to e7. &nbsp; &nbsp; &nbsp; 1098 = 11 + 0 + 999 + 88. &nbsp; &nbsp; &nbsp; 1099 = 1 + 0 + 999 + 99. &nbsp; &nbsp; &nbsp; 1100 has a base 3 representation that ends with 1100. &nbsp; &nbsp; &nbsp; 1101 has a base 2 representation that ends with 1101. &nbsp; &nbsp; &nbsp; 1103 is the number of graphs with 9 vertices and 8 edges. &nbsp; &nbsp; &nbsp; 1104 is a Keith number. &nbsp; &nbsp; &nbsp; 1105 is the smallest number that can be written as the sum of 2 squares in 4 ways. &nbsp; &nbsp; &nbsp; 1107 is the 8th central trinomial coefficient. &nbsp; &nbsp; &nbsp; 1110 is the sum of all numbers with digit sum 3 with 3 or fewer digits. &nbsp; &nbsp; &nbsp; 1111 is a repdigit. &nbsp; &nbsp; &nbsp; 1112 has a base 3 representation that begins with 1112. &nbsp; &nbsp; &nbsp; 1113 is the number of partitions of 40 into distinct parts. &nbsp; &nbsp; &nbsp; 1114 = 12 + 23 + 34 + 45. &nbsp; &nbsp; &nbsp; 1116 is the number of 8-abolos. &nbsp; &nbsp; &nbsp; 1117, when followed by any of its digits, is prime. &nbsp; &nbsp; &nbsp; 1118 is the number of graphs with 9 vertices that have chromatic number 2. &nbsp; &nbsp; &nbsp; 1119 is the number of bipartite graphs with 9 vertices. &nbsp; &nbsp; &nbsp; 1120 = (1 × 2 × 3 × 4 × 5 × 6 × 7 ×&nbsp; / (1 + 2 + 3 + 4 + 5 + 6 + 7 + . &nbsp; &nbsp; &nbsp; 1121 is the smallest number that can not be written using 12 copies of 12 and the operations +, –, ×, and ÷. &nbsp; &nbsp; &nbsp; 1122 = 33C1 + 33C1 + 33C2 + 33C2. &nbsp; &nbsp; &nbsp; 1123 has digits which start the Fibonacci sequence. &nbsp; &nbsp; &nbsp; 1124 is a Leyland number. &nbsp; &nbsp; &nbsp; 1125 is a hendecagonal pyramidal number. &nbsp; &nbsp; &nbsp; 1127 has the property that if each digit is replaced by its square, the resulting number is a square. &nbsp; &nbsp; &nbsp; 1128 is an icosahedral number. &nbsp; &nbsp; &nbsp; 1130 is a Perrin number. &nbsp; &nbsp; &nbsp; 1131 has the property that the concatenation of its prime factors in increasing order is a square. &nbsp; &nbsp; &nbsp; 1132 is the number of 3-valent trees with 15 vertices. &nbsp; &nbsp; &nbsp; 1134 is the number of permutations of 9 items that fix 5 elements. &nbsp; &nbsp; &nbsp; 1135 is the number of ways to color the vertices of a triangle with 15 colors, up to rotation. &nbsp; &nbsp; &nbsp; 1137 is the maximum value of n so that there exist 7 denominations of stamps so that every postage from 1 to n can be paid for with at most 7 stamps. &nbsp; &nbsp; &nbsp; 1139 has the property that placing the last digit first gives 1 more than 8 times it. &nbsp; &nbsp; &nbsp; 1140 is the smallest number whose divisors contain every digit at least three times. &nbsp; &nbsp; &nbsp; 1141 is the smallest number whose 6th power can be written as the sum of seven 6th powers. &nbsp; &nbsp; &nbsp; 1142 is the number of ways to place a non-attacking white and black pawn on a 7×7 chessboard. &nbsp; &nbsp; &nbsp; 1144 is the number of non-invertible knots with 12 crossings. &nbsp; &nbsp; &nbsp; 1146 divides the sum of the digits of 21146 × 1146!. &nbsp; &nbsp; &nbsp; 1147 is the product of two consecutive primes. &nbsp; &nbsp; &nbsp; 1148 is the number of ways to fold a strip of 9 stamps. &nbsp; &nbsp; &nbsp; 1152 is a highly totient number. &nbsp; &nbsp; &nbsp; 1153 is the smallest number with the property that its first 3 multiples contain the digit 3. &nbsp; &nbsp; &nbsp; 1154 is the 8th Pell-Lucas number. &nbsp; &nbsp; &nbsp; 1155 is the Stirling number of the second kind S(11,9). &nbsp; &nbsp; &nbsp; 1156 is a square whose digits are non-decreasing. &nbsp; &nbsp; &nbsp; 1157 is the number of anisohedral 15-ominoes. &nbsp; &nbsp; &nbsp; 1158 is the maximum number of pieces a torus can be cut into with 18 cuts. &nbsp; &nbsp; &nbsp; 1159 is a centered octahedral number. &nbsp; &nbsp; &nbsp; 1160 is the maximum number of regions a cube can be cut into with 19 cuts. &nbsp; &nbsp; &nbsp; 1161 is the number of 11-iamonds without holes. &nbsp; &nbsp; &nbsp; 1165 is the number of conjugacy classes in the automorphism group of the 12 dimensional hypercube. &nbsp; &nbsp; &nbsp; 1166 is a heptagonal pyramidal number. &nbsp; &nbsp; &nbsp; 1167 is the smallest number whose 8th power can be written as the sum of nine 8th powers. &nbsp; &nbsp; &nbsp; 1168 is the number of binary cube-free words of length 16. &nbsp; &nbsp; &nbsp; 1170 = 2222 in base 8. &nbsp; &nbsp; &nbsp; 1171 has a 4th power containing only 4 different digits. &nbsp; &nbsp; &nbsp; 1172 is the number of subsets of {1,2,3,...,14} that have a sum divisible by 14. &nbsp; &nbsp; &nbsp; 1177 is a number whose sum of divisors is a 4th power. &nbsp; &nbsp; &nbsp; 1179 is the number of different permanents of binary 7×7 matrices. &nbsp; &nbsp; &nbsp; 1182 is the number of necklaces (that can't be turned over) possible with 14 beads, each being one of 2 colors. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <img src="/styles/default/xenforo/smilies/default/eek.gif"&nbsp; class="smilie" loading="lazy" alt=":eek:" title="eek&nbsp; &nbsp; :eek:" data-shortname=":eek:" /><img src="/styles/default/xenforo/smilies/default/eek.gif"&nbsp; class="smilie" loading="lazy" alt=":eek:" title="eek&nbsp; &nbsp; :eek:" data-shortname=":eek:" /><img src="/styles/default/xenforo/smilies/default/eek.gif"&nbsp; class="smilie" loading="lazy" alt=":eek:" title="eek&nbsp; &nbsp; :eek:" data-shortname=":eek:" /></blockquote>

[QUOTE="MaD-DoC, post: 2312716, member: 56284"] 900 has a base 5 representation that begins with its base 9 representation. 901 is the sum of the digits of the first 100 positive integers. 902 is a value of n so that n(n+7) is a palindrome. 903 ??? 904 has a cube that is the sum of 3 positive cubes. 905 is the smallest composite number that is not the sum of a prime and a power of 2. 906 is the number of perfect graphs with 7 vertices. 907 is the largest n so that Q(√n) has class number 3. 908 ??? 909 is a value of n that has has no digits in common with 2n, 3n, 4n, 5n, 6n, 7n, 8n, or 9n. 910 is the generalized Catalan number C(11,4). 911 is the American emergency number. 912 is a Pentanacci number. 913 has exactly the same digits in 3 different bases. 914 is the number of binary rooted trees with 15 vertices. 915 ??? 916 is a strobogrammatic number. 917 is the only positive number known whose 9th power can be written as the sum of ten 9th powers. 918 is a number that does not have any digits in common with its cube. 919 is the smallest number which is not the difference between palindromes. 920 is a truncated cube number. 921 ??? 922 = 1234 in base 9. 923 multiplied by its successor gives a number concatenated with itself. 924 is the 6th central binomial coefficient. 925 is the number of partitions of 37 in which no part occurs only once. 926 is the smallest number that can not be formed using the digits 1-6 at most once, with the operators +, –, ×, ÷, and ^. 927 is the 13th tribonacci number. 928 ??? 929 is a Proth prime. 930 is the number of even permutations on 7 elements with no fixed points. 931 ??? 932 ??? 933 is a house number. 934 has a 5th root that starts 3.25252225.... 935 is a Lucas-Carmichael number. 936 is a pentagonal pyramidal number. 937 ??? 938 ??? 939 has a cube root whose decimal part starts with the digits 1-9 in some order. 940 is the maximum number of regions space can be divided into by 15 spheres. 941 is the smallest number which is the reverse of the sum of its proper substrings. 942 is the smallest number whose cube contains five 8's. 943 is a Lucas 6-step number. 944 is the smallest number so that it and the next 2 numbers have 5 prime factors (counted with multiplicity). 945 is the smallest odd abundant number. 946 is a hexagonal pyramidal number. 947 ??? 948 is the number of symmetric plane partitions of 24. 949 is the larger number in a Ruth-Aaron pair. 950 is the generalized Catalan number C(17,3). 951 is the number of functions from 8 unlabeled points to themselves. 952 = 93 + 53 + 23 + 9 × 5 × 2. 953 is the largest prime factor of 54321. 954 ??? 955 is the number of ways to to arrange the numbers 1-9 around a circle so that the sums of adjacent numbers are distinct. 956 is the number of multigraphs with 16 vertices and 4 edges. 957 is a value of n for which σ(n) = σ(n+1). 958 is the number of labeled 3-colorable graphs with 5 vertices. 959 is a Carol number. 960 is the sum of its digits and the cube of its digits. 961 is a square whose digits can be rotated to give another square. 962 ??? 963 is a value of n for which π(n) is the product of the digits of n. 964 is the number of 3×3 sliding puzzle positions that require exactly 12 moves to solve starting with the hole in the center. 965 ??? 966 is the Stirling number of the second kind S(8,3). 967 is the number of 6-digit triangular numbers. 968 is an Achilles number. 969 is a tetrahedral palindrome. 970 ??? 971 ??? 972 is an Achilles number. 973 is the number of inequivalent asymmetric Ferrers graphs with 25 points. 974 is the number of multigraphs with 5 vertices and 10 edges. 975 ??? 976 has a square formed by inserting a block of digits inside itself. 977 is a Stern prime. 978 ??? 979 is the sum of the first five 4th powers. 980 ??? 981 is the smallest number that has 5 different partitions into 3 parts with the same product. 982 is the number of partitions of 39 into distinct parts. 983 is a Wedderburn-Etherington number. 984 = 8 + 88 + 888. 985 is the 9th Pell number. 986 is a strobogrammatic number. 987 is the 16th Fibonacci number. 988 is the maximum number of regions a cube can be cut into with 18 cuts. 989 ??? 990 is a triangular number that is the product of 3 consecutive integers. 991 is a permutable prime. 992 is the number of differential structures on the 11-dimensional hypersphere. 993 is the number of paraffins with 8 carbon atoms. 994 is the smallest number with the property that its first 18 multiples contain the digit 9. 995 has a square formed by inserting a block of digits inside itself. 996 has a square formed by inserting a block of digits inside itself. 997 has a cube root that starts 9.98998998.... 998 is the smallest number with the property that its first 55 multiples contain the digit 9. 999 is a Kaprekar number. 1000 = 103. 1001 is the smallest palindromic product of 3 consecutive primes. 1002 is the number of partitions of 22. 1003 has a base 2 representation that ends with its base 3 representation. 1004 is a heptanacci number. 1005 is a decagonal pyramidal number. 1006 has a cube that is a concatenation of other cubes. 1007 is the maximum value of n so that there exist 8 denominations of stamps so that every postage from 1 to n can be paid for with at most 6 stamps. 1008 is the number of symmetric ways to fold a strip of 16 stamps. 1009 is the pseudosquare modulo 7. 1010 is the number of ways to tile a 5×12 rectangle with the pentominoes. 1011 has a square that is formed by inserting three 2's into it. 1012 has a square that is formed by inserting three 4's into it. 1013 is the number of ways 10 people can line up so that only one person has a taller person in front of him. 1014 is the smallest number that can be written in 7 ways as the sum of a number and the product of its non-zero digits. 1015 is the number of chiral invertible knots with 12 crossings. 1016 is a stella octangula number. 1019 is a value of n for which one more than the product of the first n primes is prime. 1020 is the number of ways to place 2 non-attacking kings on a 7×7 chessboard. 1021 is a value of n for which one more than the product of the first n primes is prime. 1022 is a Friedman number. 1023 is the smallest number with 4 different digits. 1024 is the smallest number with 11 divisors. 1025 is the smallest number that can be written as the sum of a square and a cube in 4 ways. 1026 is the number of subsets of the 22nd roots of unity that add to 1. 1027 is the sum of the squares of the first 8 primes. 1029 is the smallest order for which there are 19 groups. 1031 is the length of the largest repunit that is known to be prime. 1032 is the smallest number that can be written as the sum of a cube and a 5th power in more than one way. 1033 = 81 + 80 + 83 + 83. 1035 is a value of n for which n, 2n, 3n, and 4n all use the same number of digits in Roman numerals. 1036 = 4444 in base 6. 1037 is a value of n for which φ(n) = φ(n-1) + φ(n-2). 1038 is the number of ways to stack 29 pennies in contiguous rows so that each penny lies on the table or on two pennies. 1040 is the number of ways to place 2 non-attacking bishops on a 6×6 chessboard. 1041 does not occur in its factorial in base 2. 1042 has the property that if each digit is replaced by its cube, the resulting number is a cube. 1043 has a 5th power that contains only digits 4 and smaller. 1044 is the number of graphs with 7 vertices. 1045 is an octagonal pyramidal number. 1046 is the smallest number whose cube contains 4 consecutive 4's. 1049 is an Eisenstein-Mersenne prime. 1050 is the Stirling number of the second kind S(8,5). 1051 is the smallest value of n for which π(8n) = n. 1052 has the property that placing the last digit first gives 1 more than twice it. 1053 divides the sum of the digits of 21053 × 1053!. 1054 is a value of n for which |cos(n)| is smaller than any previous integer. 1055 is the maximum value of n so that there exist 5 denominations of stamps so that every postage from 1 to n can be paid for with at most 10 stamps. 1056 is the area of the smallest non-square rectangle that can be tiled with integer-sided squares. 1057 is the number of idempotent functions from a set of 6 elements into itself. 1063 is not the sum of a square, a cube, a 4th power, and a 5th power. 1066 is a value of n for which 2φ(n) = φ(n+1). 1067 has exactly the same digits in 3 different bases. 1069 is a prime that remains prime when preceded and followed by one, two, three, or four 3's. 1071 is the sum of 3 consecutive cubes. 1072 is the smallest number that can be written as the sum of 2, 3, 4, or 5 positive cubes. 1075 is the number of squares of functions from a set of 5 elements to itself. 1076 is a member of the Fibonacci-type sequence starting with 1 and 4. 1077 is a value of n for which n!!! + 1 is prime. 1078 is the number of lattices on 9 unlabeled nodes. 1079 is the smallest number n where either it or its neighbors are divisible by the numbers from 1 to 15. 1080 is the smallest number with 18 divisors. 1081 is a triangular number that is the product of two primes. 1084 is the smallest number whose English name contains all five vowels in order. 1086 is the number of 13-hexes with reflectional symmetry. 1087 is a Kynea prime. 1088 has a sum of digits equal to its largest prime factor. 1089 is one ninth of its reverse. 1092 is the order of a non-cyclic simple group. 1093 is the smallest Wieferich prime. 1094 is the maximum value of n so that there exist 4 denominations of stamps so that every postage from 1 to n can be paid for with at most 14 stamps. 1095 is the number of vertices in a Sierpinski triangle of order 6. 1096 is the number of subsets of {1,2,3,...,14} that have a sum divisible by 15. 1097 is the closest integer to e7. 1098 = 11 + 0 + 999 + 88. 1099 = 1 + 0 + 999 + 99. 1100 has a base 3 representation that ends with 1100. 1101 has a base 2 representation that ends with 1101. 1103 is the number of graphs with 9 vertices and 8 edges. 1104 is a Keith number. 1105 is the smallest number that can be written as the sum of 2 squares in 4 ways. 1107 is the 8th central trinomial coefficient. 1110 is the sum of all numbers with digit sum 3 with 3 or fewer digits. 1111 is a repdigit. 1112 has a base 3 representation that begins with 1112. 1113 is the number of partitions of 40 into distinct parts. 1114 = 12 + 23 + 34 + 45. 1116 is the number of 8-abolos. 1117, when followed by any of its digits, is prime. 1118 is the number of graphs with 9 vertices that have chromatic number 2. 1119 is the number of bipartite graphs with 9 vertices. 1120 = (1 × 2 × 3 × 4 × 5 × 6 × 7 × / (1 + 2 + 3 + 4 + 5 + 6 + 7 + . 1121 is the smallest number that can not be written using 12 copies of 12 and the operations +, –, ×, and ÷. 1122 = 33C1 + 33C1 + 33C2 + 33C2. 1123 has digits which start the Fibonacci sequence. 1124 is a Leyland number. 1125 is a hendecagonal pyramidal number. 1127 has the property that if each digit is replaced by its square, the resulting number is a square. 1128 is an icosahedral number. 1130 is a Perrin number. 1131 has the property that the concatenation of its prime factors in increasing order is a square. 1132 is the number of 3-valent trees with 15 vertices. 1134 is the number of permutations of 9 items that fix 5 elements. 1135 is the number of ways to color the vertices of a triangle with 15 colors, up to rotation. 1137 is the maximum value of n so that there exist 7 denominations of stamps so that every postage from 1 to n can be paid for with at most 7 stamps. 1139 has the property that placing the last digit first gives 1 more than 8 times it. 1140 is the smallest number whose divisors contain every digit at least three times. 1141 is the smallest number whose 6th power can be written as the sum of seven 6th powers. 1142 is the number of ways to place a non-attacking white and black pawn on a 7×7 chessboard. 1144 is the number of non-invertible knots with 12 crossings. 1146 divides the sum of the digits of 21146 × 1146!. 1147 is the product of two consecutive primes. 1148 is the number of ways to fold a strip of 9 stamps. 1152 is a highly totient number. 1153 is the smallest number with the property that its first 3 multiples contain the digit 3. 1154 is the 8th Pell-Lucas number. 1155 is the Stirling number of the second kind S(11,9). 1156 is a square whose digits are non-decreasing. 1157 is the number of anisohedral 15-ominoes. 1158 is the maximum number of pieces a torus can be cut into with 18 cuts. 1159 is a centered octahedral number. 1160 is the maximum number of regions a cube can be cut into with 19 cuts. 1161 is the number of 11-iamonds without holes. 1165 is the number of conjugacy classes in the automorphism group of the 12 dimensional hypercube. 1166 is a heptagonal pyramidal number. 1167 is the smallest number whose 8th power can be written as the sum of nine 8th powers. 1168 is the number of binary cube-free words of length 16. 1170 = 2222 in base 8. 1171 has a 4th power containing only 4 different digits. 1172 is the number of subsets of {1,2,3,...,14} that have a sum divisible by 14. 1177 is a number whose sum of divisors is a 4th power. 1179 is the number of different permanents of binary 7×7 matrices. 1182 is the number of necklaces (that can't be turned over) possible with 14 beads, each being one of 2 colors. :eek::eek::eek: [/QUOTE]

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