20221215, 12:09  #309 
Dec 2022
2^{3} Posts 
2^64  189
I found 2 large primes with coefficients (2^64  189) then 000000 (like 500,000 rep units) followed by a 1.
Was a long time ago though. 
20230107, 05:43  #310 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2344_{10} Posts 
P1174253
P1174253 was proven prime using PFGW on Christmas eve 2022.
Please see the attached screenshots and the files used to run the proof. The proof testing was done by placing the following 3 files in the PFGW folder and running the batch file on a windows system. ETP100A1runproof.bat (Batch file) ETP110Apfgwprime.txt (helper file) ETP120Ab.txt (Candidate to test) The decimal integer can be generated in PARI/GP by the following code, however the screen buffer will run out while "printing" the 1174253 decimal digits of the integer. You can insteat use the "write" command to print the entire digits to a file. Code:
k = [1, 1, 1, 2, 5, 9, 6, 79, 16, 219, 580, 387, 189, 7067, 1803, 6582, 31917, 18888, 20973, 132755, 11419, 50111]; q = 2; for(i=1, #k, q = k[i]*(q1)*q+1); print("\n",q,"\n"); \\\\\\ Thank you for your time. https://primes.utm.edu/primes/page.php?id=134690 Credits and thanks to George, Mark, PFGW and PARI/GP. Last fiddled with by a1call on 20230107 at 05:45 
20230118, 02:10  #311 
"Rashid Naimi"
Oct 2015
Remote to Here/There
928_{16} Posts 
I think i have an unusual setup. Please see the attached screenshots of the next iteration in progress.
FTR and in the unlikely case, anyone would find it useful: * I have a windowsguest VirtualBox virtual machine on a 16 core Ryzen 9 desktop. * I use one instance of PARIGP to continuously sieve a given krange using gcd * Multiple instances of PARIGP read remaining k's using the system command, generate a PFGW short PRP script and invoke PFGW using the system command and move to next remaining k when done * I have a series of DOS batch files which automate the above processes. Thank you for your time. 
20230119, 10:26  #312 
Aug 2020
79*6581e4;3*2539e3
659 Posts 
I noticed that prime when it appeared at Caldwell's list. It seems to be constructed like Euclid numbers but modified with that list of k's. How were these values decided?

20230119, 13:39  #313 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2^{3}×293 Posts 
Hi bur,
1st value of small Prime q (2 in this case) is a random choice. Every k is the smallest value that will yield a Prime for each iteration. This way, all the Prime factors of N1 (for all iterations) are known as long as all k’s are small enough to be fully factored. Last fiddled with by a1call on 20230119 at 13:44 
20230120, 13:09  #314  
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
6034_{10} Posts 
Quote:


20230120, 14:10  #315 
"Rashid Naimi"
Oct 2015
Remote to Here/There
4450_{8} Posts 
No, I’m not. I have tried a N+1 version and a twin Prime version, but I decided to concentrate on the above version. Anyone is welcome to pursue their own attempts.

20230120, 17:25  #316 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2^{3}·293 Posts 
Please see attached a pfgwprime.log file which can be used as a helper file (editing required) for twin prime search (the smaller TwinPrime not required for the helper file), iterating on the larger twin prime. The largest I found are 3049 dd. It's abandoned, so anyone is welcome to continue if they wish.
Last fiddled with by a1call on 20230120 at 17:27 
20230129, 20:55  #317 
Jan 2023
1 Posts 
How to post new digit primes, n achieve reward?

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