mersenneforum.org About k ^ 2 + 1 primes
 Register FAQ Search Today's Posts Mark Forums Read

2023-03-09, 18:46   #12
science_man_88

"Forget I exist"
Jul 2009
Dartmouth NS

2×52×132 Posts

Quote:
 Originally Posted by Dr Sardonicus As written? That after-the-fact edit is the most inane attempt to whitewash a mistake I've seen in a long, long time - perhaps ever - on this Forum since I've been following it. In the first place, how a number is written doesn't affect whether it's a Sierpinski number, or a GFN. The number 25*2^13719266 + 1 clearly is (5*2^6859633)^2 + 1, thus a GFN. In the second place, k is a Sierpinski number when k*2^n + 1 is composite for every positive integer n. How do you claim to know that k = 25*2^13719266 + 1 has this property? I'm guessing you don't know any such thing. In trying to whitewash one mistake, you've made another.
Look I've been suicidal in the last few years.

 2023-03-11, 00:42 #13 Andrew Usher   Dec 2022 23×5×11 Posts OK, he meant Proth number/prime, not Sierpinski - I can see how one might get the terms confused, since the minus-side counterparts of both are called 'Riesel'. But for historical reasons, we have a difference. Now the more important question is how we are to pronounce 'Proth' ...
 2023-03-13, 18:29 #14 bur     Aug 2020 79*6581e-4;3*2539e-3 36 Posts Like any respectable german would: pros numbe.
2023-03-27, 03:28   #15
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

10,181 Posts

Quote:
 Originally Posted by bur Like any respectable German would: pros numbe.
Or, as allegedly, Ron DeSantis says: "Thigh food" (meaning "Thai food").

2023-03-27, 23:57   #16
bhelmes

Mar 2016

431 Posts

Quote:
 Originally Posted by DF476 I have created a little program to find the prime numbers of k ^ 2 + 1, where k is an even number (except 1). And I have been surprised by how little information there is about them. I have only found one entry in the OEIS that barely reaches 40 numbers. So I ask, is there a search project for these primes? Or do they have a name (I have thought of calling them Asfolk)? Do they have a pattern? Thanks for reading me
You can try to improve it: http://devalco.de/quadr_Sieb_x%5E2+1.php

 Similar Threads Thread Thread Starter Forum Replies Last Post hunson Miscellaneous Math 16 2023-02-21 17:18 emily Math 35 2022-12-21 16:32 carpetpool Miscellaneous Math 4 2022-07-14 02:29 mart_r Prime Gap Searches 14 2020-06-30 12:42 troels munkner Miscellaneous Math 4 2006-06-02 08:35

All times are UTC. The time now is 11:21.

Thu Jun 1 11:21:03 UTC 2023 up 287 days, 8:49, 0 users, load averages: 1.05, 0.93, 0.92