This post originally appeared on Mersenne Forum. Re-posting here for posterity. Original link is here.
https://www.mersenneforum.org/showthread.php?p=595950
Hi, this is Indrajith Gamage from Sri Lanka. I'm a complete newbie to Mersenne forum and not qualified beyond Bachelors' degree level in Mathematics. (If you don't already know, Sri Lanka is the small island country below India.) One nice coincidence is that I'm posting this on 22nd of December 2021, which is the Birthday of the Indian Mathematical genius Ramanujan.
So with those things in mind, I'm making this post to declare that the exponent M314,159,257 is a definite prime. I'm also hereby reserving and naming it as the "Pi Exponent". The reason behind that name is very simple. Just cross check it with the first 7 digits of Pi (3 and first 6 decimals). They match exactly. I found this today itself and made a Facebook post for verification purposes at 5.51pm IST today.(GMT +5.30)
So why is this declaration important? The answer is quite simple. I know that the current record holder for the biggest prime known is M82,589,933 and has been so since 2018. My exponent itself is nearly 4 times larger, which means it's more than 2^231 times massive. So it will be no surprise with current resources we have, verifying this using LL or any other methods will be quite a while ahead.
However, I'm giving you my word that this is undoubtedly a prime, and easily the biggest Prime Number found by quite a stretch. The "Pi Exponent" is doubly fascinating, because as we all know, Pi has a special place in any mathematician's heart. This is probably redundant, but in case anyone does not understand, I'm specifically declaring that,
2^314,159,257 - 1 is a Prime Number
Given the size of this massive number, I guess anyone will agree that I have no hope of scientifically verifying it with my puny personal processing power, nor will it be possible without some serious help within a reasonable time frame. However, I'm prepared to wager anything that this is definitely a prime. I don't want to disclose how I found it because it wasn't scientific, and that's not really important either.
What's important is that this will be scientifically proven with an LL test (or something similarly accurate). I would really love to see this happen before the next Pi day, which is March 14th, 2022. If some serious processing power can be dedicated to running this test, I think it's easily achievable. Probably not with the Mersenne resources only, but if there's a possibility of getting a big media attention to this along with some dedicated super computers, it will be quite easy. The fact that the exponent is so similar to Pi will clearly help in getting much wider coverage in media.
I can promise you that it will end with success by proving it is a prime, this is guaranteed. I'm very much aware that my words itself don't matter in this regard, that's why I'm putting down my real name in my account. You can verify my information anyway you like, and I'm asking everyone to take a leap of faith here. If you'd like, you can check the official Mersenne exponent status of the "Pi Exponent" right here. It's currently verified as a Pseudo Prime, so that will give some confidence to anyone who's skeptical.
https://www.mersenne.org/report_exponent/?exp_lo=314159257&exp_hi=&full=1&ecmhist=1
Let's try to get some big attention to this cause, using any avenues you can. With some luck, companies and agencies with massive computing power will find it beneficial to support and join this effort to verify the "Pi Exponent" as the biggest verified prime.
Of course, in the bigger picture, the success of this will definitely give a massive boost to Mersenne.org as well as their worthy cause of finding Primes, including Mathematics and STEM education as a whole. So even if you are not inclined to believe me, this would be a worthy cause. However, I give you my word that this will end in success. The fact that I took my time to write this lengthy post with my real name etc. is hopefully an indication itself of how sure I am.
Therefore, I hope you will join me in this worthy cause, and find it charitable to give some exposure to this effort using whatever means you can. Let's try to turn this into a real phenomenon, get some help from real supercomputers and complete the verification by March 14th 2022.
So Thank you everyone. I wish you all the joy of being a partner in this massive, successful endeavor.
Indrajith Gamage.
Sri Lanka.
https://www.mersenneforum.org/showthread.php?p=595950
Hi, this is Indrajith Gamage from Sri Lanka. I'm a complete newbie to Mersenne forum and not qualified beyond Bachelors' degree level in Mathematics. (If you don't already know, Sri Lanka is the small island country below India.) One nice coincidence is that I'm posting this on 22nd of December 2021, which is the Birthday of the Indian Mathematical genius Ramanujan.
So with those things in mind, I'm making this post to declare that the exponent M314,159,257 is a definite prime. I'm also hereby reserving and naming it as the "Pi Exponent". The reason behind that name is very simple. Just cross check it with the first 7 digits of Pi (3 and first 6 decimals). They match exactly. I found this today itself and made a Facebook post for verification purposes at 5.51pm IST today.(GMT +5.30)
So why is this declaration important? The answer is quite simple. I know that the current record holder for the biggest prime known is M82,589,933 and has been so since 2018. My exponent itself is nearly 4 times larger, which means it's more than 2^231 times massive. So it will be no surprise with current resources we have, verifying this using LL or any other methods will be quite a while ahead.
However, I'm giving you my word that this is undoubtedly a prime, and easily the biggest Prime Number found by quite a stretch. The "Pi Exponent" is doubly fascinating, because as we all know, Pi has a special place in any mathematician's heart. This is probably redundant, but in case anyone does not understand, I'm specifically declaring that,
2^314,159,257 - 1 is a Prime Number
Given the size of this massive number, I guess anyone will agree that I have no hope of scientifically verifying it with my puny personal processing power, nor will it be possible without some serious help within a reasonable time frame. However, I'm prepared to wager anything that this is definitely a prime. I don't want to disclose how I found it because it wasn't scientific, and that's not really important either.
What's important is that this will be scientifically proven with an LL test (or something similarly accurate). I would really love to see this happen before the next Pi day, which is March 14th, 2022. If some serious processing power can be dedicated to running this test, I think it's easily achievable. Probably not with the Mersenne resources only, but if there's a possibility of getting a big media attention to this along with some dedicated super computers, it will be quite easy. The fact that the exponent is so similar to Pi will clearly help in getting much wider coverage in media.
I can promise you that it will end with success by proving it is a prime, this is guaranteed. I'm very much aware that my words itself don't matter in this regard, that's why I'm putting down my real name in my account. You can verify my information anyway you like, and I'm asking everyone to take a leap of faith here. If you'd like, you can check the official Mersenne exponent status of the "Pi Exponent" right here. It's currently verified as a Pseudo Prime, so that will give some confidence to anyone who's skeptical.
https://www.mersenne.org/report_exponent/?exp_lo=314159257&exp_hi=&full=1&ecmhist=1
Let's try to get some big attention to this cause, using any avenues you can. With some luck, companies and agencies with massive computing power will find it beneficial to support and join this effort to verify the "Pi Exponent" as the biggest verified prime.
Of course, in the bigger picture, the success of this will definitely give a massive boost to Mersenne.org as well as their worthy cause of finding Primes, including Mathematics and STEM education as a whole. So even if you are not inclined to believe me, this would be a worthy cause. However, I give you my word that this will end in success. The fact that I took my time to write this lengthy post with my real name etc. is hopefully an indication itself of how sure I am.
Therefore, I hope you will join me in this worthy cause, and find it charitable to give some exposure to this effort using whatever means you can. Let's try to turn this into a real phenomenon, get some help from real supercomputers and complete the verification by March 14th 2022.
So Thank you everyone. I wish you all the joy of being a partner in this massive, successful endeavor.
Indrajith Gamage.
Sri Lanka.
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