20200830, 17:53  #12 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3^{2}·5·17 Posts 
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 20200831 at 06:51 
20200903, 19:55  #13 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3^{2}×5×17 Posts 
8*140^n+1 at 600K
8*488^n+1 at 200K 8*497^n+1 at 500K 8*785^n+1 at 500K 
20200903, 22:14  #14 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
101111110100_{2} Posts 
For the Riesel side:
4*653^n1 at 300K 4*968^n1 at 500K 7*518^n1 at 300K 9*378^n1 at 300K 11*458^n1 at 600K 11*962^n1 at 400K 12*615^n1 at 400K 
20200904, 21:47  #15 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3^{2}×5×17 Posts 
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 20200904 at 21:50 
20200906, 16:18  #16 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3^{2}×5×17 Posts 
Last fiddled with by kar_bon on 20200907 at 12:34 Reason: done 
20200906, 21:00  #17 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3^{2}·5·17 Posts 
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 20200907 at 10:24 
20200906, 22:25  #18 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3^{2}×5×17 Posts 
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^n1 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 20200907 at 12:32 Reason: answer 
20200908, 09:12  #19 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×3^{2}×5×17 Posts 
@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
Last fiddled with by sweety439 on 20200908 at 09:12 
20200910, 03:14  #20 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3^{2}·5·17 Posts 
Also, Williams primes PP 327 (328*327^n+1) is checked to 300K, see post https://www.mersenneforum.org/showpo...postcount=2116

20201002, 15:35  #21 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3^{2}·5·17 Posts 
9*926^n1 at 200K, see post https://mersenneforum.org/showpost.p...postcount=3726

20201015, 21:28  #22 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·3^{2}·5·17 Posts 
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^n1 at 300K (https://mersenneforum.org/showpost.p...postcount=3730) 3*588^n1 at 500K (https://mersenneforum.org/showpost.p...postcount=3733) Last fiddled with by sweety439 on 20201015 at 21:31 
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