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Old 2020-08-30, 17:53   #12
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Updates for Proth prime small bases least n:

2*542^n+1 at 300K
4*53^n+1 at 1.61M
4*155^n+1 at 1.24M
4*174^n+1 at 850K
4*204^n+1 at 600K
4*230^n+1 at 900K
4*334^n+1 at 300K
4*803^n+1 at 500K
6*625^n+1 at 200K
8*443^n+1 at 500K
12*620^n+1 at 300K

Done

Last fiddled with by kar_bon on 2020-08-31 at 06:51
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Old 2020-09-03, 19:55   #13
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8*140^n+1 at 600K
8*488^n+1 at 200K
8*497^n+1 at 500K
8*785^n+1 at 500K
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Old 2020-09-03, 22:14   #14
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For the Riesel side:

4*653^n-1 at 300K
4*968^n-1 at 500K
7*518^n-1 at 300K
9*378^n-1 at 300K
11*458^n-1 at 600K
11*962^n-1 at 400K
12*615^n-1 at 400K
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Old 2020-09-04, 21:47   #15
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Also, for the page https://www.rieselprime.de/ziki/Prot..._bases_least_n, I think this table can show the test limits for the generalized Fermat numbers without known primes, just like the test limits for other forms without known primes, e.g. 4*32^n+1 at n=1717986917, 4*53^n+1 at n=1610000, 4*155^n+1 at n=1240000, etc., since these forms may have primes, like the forms shown "0" in the table.

The test limits for the generalized Fermat numbers without known primes are:

2*512^n+1 at n=2001599834386886
4*32^n+1 at n=1717986917
4*512^n+1 at n=62549994824589
4*1024^n+1 at n=858993458
10*1000^n+1 at n=1431655764
12*12^n+1 at n=16777214

and they also should be in the "Wanted values".

Note: 8*128^n+1 has no possible prime, thus still should show "-" like other forms with no possible prime.

Last fiddled with by sweety439 on 2020-09-04 at 21:50
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Old 2020-09-06, 16:18   #16
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6*212^n+1 at n=500K, see post https://mersenneforum.org/showpost.p...&postcount=838

Done

Last fiddled with by kar_bon on 2020-09-07 at 12:34 Reason: done
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Old 2020-09-06, 21:00   #17
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For Williams prime PP 327, (327+1)*327^135981+1 is prime.

Also, Williams prime MP 342 is checked to 200K with no prime found.

Done

Last fiddled with by kar_bon on 2020-09-07 at 10:24
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Old 2020-09-06, 22:25   #18
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Also, for Williams MM least and Williams MP least, CRUS has started R478 and S817, but both only tested to 2.5K

No, 477*478^n-1 was tested to n=200k by Steven Harvey and 816*817^n+1 tested to n=100k by me.

Last fiddled with by kar_bon on 2020-09-07 at 12:32 Reason: answer
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Old 2020-09-08, 09:12   #19
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@Kar_bon, you did not do posts 202, 203, and 204 (you only did posts 205, 206, and 207) in pages https://www.rieselprime.de/ziki/Prot..._bases_least_n and https://www.rieselprime.de/ziki/Ries..._bases_least_n

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Old 2020-09-10, 03:14   #20
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Also, Williams primes PP 327 (328*327^n+1) is checked to 300K, see post https://www.mersenneforum.org/showpo...postcount=2116
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Old 2020-10-02, 15:35   #21
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9*926^n-1 at 200K, see post https://mersenneforum.org/showpost.p...postcount=3726
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Old 2020-10-15, 21:28   #22
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Recent status updating:

4*155^n+1 at 1.265M (https://mersenneforum.org/showpost.p...&postcount=843)

12*354^n+1 at 300K (https://mersenneforum.org/showpost.p...postcount=2165)

6*894^n-1 at 300K (https://mersenneforum.org/showpost.p...postcount=3730)

3*588^n-1 at 500K (https://mersenneforum.org/showpost.p...postcount=3733)

Last fiddled with by sweety439 on 2020-10-15 at 21:31
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