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Message boards : Generalized Cullen/Woodall prime search : 809698 * 131072^809698 + 1

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Profile BurProject donor
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Joined: 25 Feb 20
Posts: 515
ID: 1241833
Credit: 415,429,336
RAC: 21,060
321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (17,065,918)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,042,656)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (12,350,586)WW (retired) Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 149344 - Posted: 11 Mar 2021 | 9:46:03 UTC

A base 131072 Generalized Cullen prime was reported which is the largest GC prime so far:

809698 * 131072^809698 + 1

It's technically base 2 since 131072 = 2^17 making it faster to compute, but also slightly disputable. Similarly the Generalized Woodall record holder is a base 32 = 2^5 prime.
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1852
ID: 306875
Credit: 52,469,437
RAC: 35,341
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (684,183)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Sapphire: Earned 20,000,000 credits (21,784,082)PSP LLR Gold: Earned 500,000 credits (598,093)SoB LLR Gold: Earned 500,000 credits (774,243)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (142,930)TRP LLR Silver: Earned 100,000 credits (476,246)Woodall LLR Silver: Earned 100,000 credits (281,400)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)Cullen/Woodall Sieve Bronze: Earned 10,000 credits (22,952)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (52,559)GFN Ruby: Earned 2,000,000 credits (4,988,252)WW (retired) Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149385 - Posted: 13 Mar 2021 | 10:03:37 UTC

Yet another Propper feat.

k=404849, b=2, when written in "canonical" form. Who can find a generalized Cullen that divides a Fermat number? Too hard.

/JeppeSN

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Message boards : Generalized Cullen/Woodall prime search : 809698 * 131072^809698 + 1

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