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Message boards : News : Another PPS-Mega Prime!

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Van ZimmermanProject donor
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321 LLR Jade: Earned 10,000,000 credits (12,372,040)Cullen LLR Jade: Earned 10,000,000 credits (10,404,674)ESP LLR Jade: Earned 10,000,000 credits (10,146,224)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (11,223,767)PPS LLR Jade: Earned 10,000,000 credits (11,411,755)PSP LLR Jade: Earned 10,000,000 credits (17,826,235)SoB LLR Jade: Earned 10,000,000 credits (11,068,122)SR5 LLR Jade: Earned 10,000,000 credits (10,116,342)SGS LLR Jade: Earned 10,000,000 credits (10,377,596)TRP LLR Jade: Earned 10,000,000 credits (10,243,187)Woodall LLR Jade: Earned 10,000,000 credits (10,668,300)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (18,073,742)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,000,651,011)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (50,121,071)GFN Double Ruby: Earned 2,000,000,000 credits (2,123,910,106)PSA Double Bronze: Earned 100,000,000 credits (157,056,054)
Message 109525 - Posted: 23 Aug 2017 | 15:14:35 UTC

On 18 August 2017 19:28:05 UTC, PrimeGrid’s PPS Mega Prime Search project found the Mega Prime:
1005*2^3420846+1

The prime is 1,029,781 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 199th overall.

The discovery was made by Łukasz Piotrowski (stiven) of Poland using an Intel(R) Xeon(R) E3-1220 v3 CPU @ 3.10GHz with 4GB RAM, running Linux. This computer took about 1 hour 1 minute to complete the primality test using LLR. Łukasz is a member of the BOINC@Poland team.

The prime was verified on 21 August 2017 06:11:37 UTC by Milan Fňašek (RNDr.) of the Czech Republic using an Intel(R) Core(TM) i3-2100 CPU @ 3.10GHz with 4GB RAM, running Microsoft Windows 7 Professional Edition. This computer took about 2 hours 9 minutes to complete the primality test using LLR. Milan is a member of the Czech National Team.

For more details, please see the official announcement.

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Message 109541 - Posted: 23 Aug 2017 | 20:31:08 UTC
Last modified: 23 Aug 2017 | 21:05:17 UTC

The links say it divides 10^(2^3420844) + 1, also known as GF(3420844,10). But then it would be number two on the relevant Top 20! Will you make sure it gets the "official" comment so it can enter the Top 20? (Edit: It will come on the Top 20 for all GF divisors as well, of course.) /JeppeSN

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321 LLR Ruby: Earned 2,000,000 credits (2,014,631)Cullen LLR Ruby: Earned 2,000,000 credits (2,041,185)ESP LLR Ruby: Earned 2,000,000 credits (2,060,837)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,006,814)PPS LLR Ruby: Earned 2,000,000 credits (2,052,020)PSP LLR Ruby: Earned 2,000,000 credits (3,262,777)SoB LLR Turquoise: Earned 5,000,000 credits (6,889,253)SR5 LLR Turquoise: Earned 5,000,000 credits (6,328,868)SGS LLR Ruby: Earned 2,000,000 credits (2,000,415)TRP LLR Ruby: Earned 2,000,000 credits (2,064,150)Woodall LLR Ruby: Earned 2,000,000 credits (2,009,056)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,876,311)PPS Sieve Sapphire: Earned 20,000,000 credits (22,870,331)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Ruby: Earned 2,000,000 credits (2,268,123)GFN Sapphire: Earned 20,000,000 credits (25,886,632)PSA Double Silver: Earned 200,000,000 credits (329,341,056)
Message 109544 - Posted: 24 Aug 2017 | 1:52:09 UTC - in response to Message 109541.
Last modified: 25 Aug 2017 | 4:01:09 UTC

The links say it divides 10^(2^3420844) + 1, also known as GF(3420844,10). But then it would be number two on the relevant Top 20! Will you make sure it gets the "official" comment so it can enter the Top 20? (Edit: It will come on the Top 20 for all GF divisors as well, of course.) /JeppeSN

It should be in progress now.

Edit: After a conversation with Chris I now understand what went wrong. I'll have to adjust the prime reporting program here a bit.

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Message 109573 - Posted: 25 Aug 2017 | 12:07:23 UTC - in response to Message 109544.

It appears to be all right now. Of course 10 is a "nice" GF base because of our numeral system, and this divisibility occurrence is related to the following open question: Are 2, 11, and 101 the only primes with a digital sum of just two (the minimal possible)? /JeppeSN

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Message 109575 - Posted: 25 Aug 2017 | 12:18:13 UTC

By the way, does anyone "automatically" inform W. Keller so he can update his GFN10 factor page? /JeppeSN

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Message 109626 - Posted: 26 Aug 2017 | 22:40:48 UTC

I also discovered another anomaly. On the page PrimeGrid Primes by Project, when I choose to see divisors, some "(MEG) MEGA Prime Search" finds that do divide GF or xGF numbers, never show up.

An example is the number from this thread, another example is 35*2^3587843+1 (found three years ago). There are many other examples.

1005*2^3420846+1 search (no divisor info)

35*2^3587843+1 search (no divisor info)

/JeppeSN

JimBProject donor
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321 LLR Ruby: Earned 2,000,000 credits (2,014,631)Cullen LLR Ruby: Earned 2,000,000 credits (2,041,185)ESP LLR Ruby: Earned 2,000,000 credits (2,060,837)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,006,814)PPS LLR Ruby: Earned 2,000,000 credits (2,052,020)PSP LLR Ruby: Earned 2,000,000 credits (3,262,777)SoB LLR Turquoise: Earned 5,000,000 credits (6,889,253)SR5 LLR Turquoise: Earned 5,000,000 credits (6,328,868)SGS LLR Ruby: Earned 2,000,000 credits (2,000,415)TRP LLR Ruby: Earned 2,000,000 credits (2,064,150)Woodall LLR Ruby: Earned 2,000,000 credits (2,009,056)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,876,311)PPS Sieve Sapphire: Earned 20,000,000 credits (22,870,331)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Ruby: Earned 2,000,000 credits (2,268,123)GFN Sapphire: Earned 20,000,000 credits (25,886,632)PSA Double Silver: Earned 200,000,000 credits (329,341,056)
Message 109627 - Posted: 27 Aug 2017 | 2:20:58 UTC
Last modified: 16 Sep 2017 | 12:09:08 UTC

We're looking into it, but it may be 2-3 days before anything happens.

Edit on 2017-09-16: Fixed now and all existing entries with missing divisors have been fixed.

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Message boards : News : Another PPS-Mega Prime!

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