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Message boards : Number crunching : Mathematicians Discover Prime Conspiracy

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Brook HarsteProject donor
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Discovered 2 mega primesFound 1 prime in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,067,502)Cullen LLR Turquoise: Earned 5,000,000 credits (5,010,955)ESP LLR Turquoise: Earned 5,000,000 credits (6,443,883)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,501,906)PPS LLR Sapphire: Earned 20,000,000 credits (23,725,719)PSP LLR Turquoise: Earned 5,000,000 credits (5,667,951)SoB LLR Jade: Earned 10,000,000 credits (12,120,365)SR5 LLR Turquoise: Earned 5,000,000 credits (8,636,723)SGS LLR Turquoise: Earned 5,000,000 credits (5,201,403)TRP LLR Turquoise: Earned 5,000,000 credits (5,628,223)Woodall LLR Turquoise: Earned 5,000,000 credits (5,061,985)321 Sieve Amethyst: Earned 1,000,000 credits (1,027,534)Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (17,370,919)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,014,372)PPS Sieve Double Bronze: Earned 100,000,000 credits (129,430,775)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,083,315)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,629,248)AP 26/27 Sapphire: Earned 20,000,000 credits (47,877,206)GFN Double Silver: Earned 200,000,000 credits (277,170,392)PSA Double Silver: Earned 200,000,000 credits (200,556,062)
Message 93141 - Posted: 14 Mar 2016 | 19:20:55 UTC

https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/
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321 LLR Bronze: Earned 10,000 credits (48,835)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Bronze: Earned 10,000 credits (13,226)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Amethyst: Earned 1,000,000 credits (1,846,710)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 93147 - Posted: 14 Mar 2016 | 19:50:55 UTC

Interesting. And any one of us could have discovered this. If only we had thought of checking it. /JeppeSN

Iain BethuneProject donor
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Message 93148 - Posted: 14 Mar 2016 | 19:52:03 UTC - in response to Message 93141.

https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/


Thanks Brink, interesting stuff!
____________
Twitter: IainBethune
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3073428256125*2^1290000-1 is Prime!

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Message 93166 - Posted: 14 Mar 2016 | 22:38:27 UTC

Googling the names of these two mathematicians bring up more popular news stories, like Peculiar pattern found in ‘random’ prime numbers (Nature) or Mathematicians shocked to find pattern in “random” prime numbers (New Scientist).

Of course, the article brinktastee posts, links the paper on arXiv.

/JeppeSN

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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain StageFound 4 primes in the 2019 Tour de PrimesFound 2 primes in the 2019 Tour de Primes Mountain Stage321 LLR Ruby: Earned 2,000,000 credits (3,189,169)Cullen LLR Amethyst: Earned 1,000,000 credits (1,663,005)ESP LLR Ruby: Earned 2,000,000 credits (3,113,890)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,621,320)PPS LLR Sapphire: Earned 20,000,000 credits (48,943,448)PSP LLR Jade: Earned 10,000,000 credits (12,480,703)SoB LLR Jade: Earned 10,000,000 credits (10,557,761)SR5 LLR Jade: Earned 10,000,000 credits (15,269,436)SGS LLR Turquoise: Earned 5,000,000 credits (7,837,724)TRP LLR Turquoise: Earned 5,000,000 credits (5,255,198)Woodall LLR Amethyst: Earned 1,000,000 credits (1,534,611)321 Sieve Bronze: Earned 10,000 credits (17,666)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,165,870)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,012,635)PPS Sieve Double Silver: Earned 200,000,000 credits (303,115,030)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (727,064)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,187,678)AP 26/27 Emerald: Earned 50,000,000 credits (79,934,153)GFN Double Bronze: Earned 100,000,000 credits (123,603,829)PSA Emerald: Earned 50,000,000 credits (51,938,273)
Message 93182 - Posted: 15 Mar 2016 | 13:38:49 UTC

http://www.scientificamerican.com/article/peculiar-pattern-found-in-random-prime-numbers

https://www.newscientist.com/article/2080613-mathematicians-shocked-to-find-pattern-in-random-prime-numbers/

http://www.sciencealert.com/mathematicians-discover-a-strange-pattern-hiding-in-prime-numbers

Kannan Soundararajan and Robert Lemke Oliver have submitted a paper showing that prime numbers near to each other tend to avoid repeating their last digits; that is, a prime that ends in 1 is less likely to be followed by another ending in 1 than one might expect from a random sequence.

The finding can be generalized beyond Base-10 numbering; the mathematicians found that the anti-sameness bias holds for any divisor.

Thoughts?
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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,770,189)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,096,374)SR5 LLR Turquoise: Earned 5,000,000 credits (8,182,777)SGS LLR Ruby: Earned 2,000,000 credits (2,011,264)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,043,062)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,593,307)PSA Jade: Earned 10,000,000 credits (10,135,447)
Message 93184 - Posted: 15 Mar 2016 | 14:29:42 UTC
Last modified: 15 Mar 2016 | 14:31:41 UTC

(The post preceding this one was moved into this thread, by me, in order to consolidate two identical topics.)
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321 LLR Silver: Earned 100,000 credits (106,389)PPS LLR Gold: Earned 500,000 credits (527,654)SR5 LLR Silver: Earned 100,000 credits (105,157)SGS LLR Silver: Earned 100,000 credits (101,620)TRP LLR Silver: Earned 100,000 credits (105,612)321 Sieve Gold: Earned 500,000 credits (512,303)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (503,510)PPS Sieve Amethyst: Earned 1,000,000 credits (1,577,628)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (34,269)TRP Sieve (suspended) Bronze: Earned 10,000 credits (32,679)AP 26/27 Silver: Earned 100,000 credits (117,247)GFN Silver: Earned 100,000 credits (414,892)PSA Silver: Earned 100,000 credits (140,044)
Message 93225 - Posted: 16 Mar 2016 | 21:46:32 UTC - in response to Message 93147.

We should totally make a PrimeGrid sub-project for this lol

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321 LLR Bronze: Earned 10,000 credits (48,835)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Bronze: Earned 10,000 credits (13,226)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Amethyst: Earned 1,000,000 credits (1,846,710)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 93281 - Posted: 18 Mar 2016 | 22:32:26 UTC - in response to Message 93182.

Thoughts?


I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).

After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.

/JeppeSN

Brook HarsteProject donor
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Discovered 2 mega primesFound 1 prime in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,067,502)Cullen LLR Turquoise: Earned 5,000,000 credits (5,010,955)ESP LLR Turquoise: Earned 5,000,000 credits (6,443,883)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,501,906)PPS LLR Sapphire: Earned 20,000,000 credits (23,725,719)PSP LLR Turquoise: Earned 5,000,000 credits (5,667,951)SoB LLR Jade: Earned 10,000,000 credits (12,120,365)SR5 LLR Turquoise: Earned 5,000,000 credits (8,636,723)SGS LLR Turquoise: Earned 5,000,000 credits (5,201,403)TRP LLR Turquoise: Earned 5,000,000 credits (5,628,223)Woodall LLR Turquoise: Earned 5,000,000 credits (5,061,985)321 Sieve Amethyst: Earned 1,000,000 credits (1,027,534)Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (17,370,919)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,014,372)PPS Sieve Double Bronze: Earned 100,000,000 credits (129,430,775)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,083,315)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,629,248)AP 26/27 Sapphire: Earned 20,000,000 credits (47,877,206)GFN Double Silver: Earned 200,000,000 credits (277,170,392)PSA Double Silver: Earned 200,000,000 credits (200,556,062)
Message 93282 - Posted: 18 Mar 2016 | 22:36:41 UTC - in response to Message 93281.

Thoughts?


I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).

After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.

/JeppeSN

Now one needs to ask, what else could be this easy to discover? Seriously, what obvious things could also be checked?
____________

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Message 93287 - Posted: 18 Mar 2016 | 23:41:47 UTC - in response to Message 93281.
Last modified: 18 Mar 2016 | 23:42:36 UTC

Thoughts?


I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).

After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.

/JeppeSN

I wonder if the same applies to specific groups primes. Say, pick the bunch of GFN 15 primes we found: does this subset of primes follows the pattern? What about Mersenne primes? Or the SoBs?

Would be funny if it was also valid (or there was some other sort of correlation) to different subsets of primes...

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,090,406)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Amethyst: Earned 1,000,000 credits (1,542,446)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Jade: Earned 10,000,000 credits (10,186,875)PSP LLR Ruby: Earned 2,000,000 credits (3,777,949)SoB LLR Sapphire: Earned 20,000,000 credits (20,045,512)SR5 LLR Turquoise: Earned 5,000,000 credits (5,978,312)SGS LLR Ruby: Earned 2,000,000 credits (2,932,085)TRP LLR Turquoise: Earned 5,000,000 credits (7,021,680)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve Turquoise: Earned 5,000,000 credits (8,333,165)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (230,998,396)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Ruby: Earned 2,000,000 credits (2,544,827)GFN Sapphire: Earned 20,000,000 credits (48,101,863)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 93289 - Posted: 18 Mar 2016 | 23:49:49 UTC - in response to Message 93282.

Thoughts?


I was surprised by this kind of "correlation" between consecutive prime. The interesting thing is that experts seemed to be surprised as well (like these two Stanford mathematician authors).

After all, these expert can relatively quickly come up with an "explanation" (even if we cannot come up with proofs), so this is not a mystery or a paradox. The strange thing is that this was not noticed much, much earlier. As I said in a previous post, any of us could discovered this "conspiracy" by simply running through the pairs of consecutive primes with a simple computer search.

/JeppeSN

Now one needs to ask, what else could be this easy to discover? Seriously, what obvious things could also be checked?

NEWS FLASH
Primes ending with a bit value of 0 repel ALL other primes ending with bit value of 0.

Since we're dealing with conjectures has anyone looked for patterns in the next-after-consecutive prime? Looks like fertile, if smelly, ground for investigation. Up for it Dawgs?

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Message 93304 - Posted: 19 Mar 2016 | 8:47:31 UTC - in response to Message 93287.


I wonder if the same applies to specific groups primes. Say, pick the bunch of GFN 15 primes we found: does this subset of primes follows the pattern? What about Mersenne primes? Or the SoBs?

Would be funny if it was also valid (or there was some other sort of correlation) to different subsets of primes...


Would be interesting to test. I tried to do it with regular and irregular primes but there seemed to be no (clear) "correlation" to the "regularity" of the previous prime. /JeppeSN

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Message 93793 - Posted: 3 Apr 2016 | 19:59:07 UTC - in response to Message 93289.


NEWS FLASH
Primes ending with a bit value of 0 repel ALL other primes ending with bit value of 0.


That is not unique to base two.

In any base P with P prime, 10 is prime and that repels all others with final bit zero ;)

Message boards : Number crunching : Mathematicians Discover Prime Conspiracy

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