20190710, 13:44  #1 
Romulan Interpreter
Jun 2011
Thailand
2^{2}×7×317 Posts 
2*b^n1, b<=2048
I lost that thread which would make Sweety happy... But here we are.
2*2018^1454641 is prime! (480748 decimal digits, P = 4) Time : 10107.913 sec. Does it worth reporting to top5k? Any idea what's the lowest digits tail? (hey, 145464 is this random? hehe) There are 19 "bases" left below 2048 for which a prime is unknown. All are tested to over n=110k, and few of them reached n=200k where we stopped, waiting for all bases to reach n=200k. Last fiddled with by LaurV on 20190710 at 13:49 Reason: extra line spacing is killing us... also s/16/19/ bases left (typo) 
20190710, 13:47  #2  
Sep 2002
Database er0rr
3449_{10} Posts 
Quote:
Quote:
To get the tail use print(2*2018^1454641) in pari/gp Last fiddled with by paulunderwood on 20190710 at 13:54 

20190710, 14:12  #3  
Romulan Interpreter
Jun 2011
Thailand
2^{2}·7·317 Posts 
Quote:
Thanks Paul Edit: by "tail" I was meaning the tail of the list (the lowest digits count, or as it is called, size requirement), not the decimal representation of the prime, but thanks anyhow for that too Last fiddled with by LaurV on 20190710 at 14:15 

20190710, 14:21  #4  
Sep 2002
Database er0rr
3,449 Posts 
Quote:


20190710, 18:55  #5 
Nov 2016
2387_{10} Posts 
LaurV edit:
rubbish deleted, attachments removed You won't pollute my blog with that. Sorry. Last fiddled with by LaurV on 20190711 at 12:07 
20190710, 18:59  #6 
Nov 2016
2387_{10} Posts 
Do you have the file for the smallest k>=1 such that 2*n^k1 is prime for n<=2048?
Last fiddled with by LaurV on 20190711 at 12:08 Reason: quote of full post removed 
20190710, 21:18  #9 
Mar 2006
Germany
5442_{8} Posts 
So where's the problem? The data can be extended/inserted for k=2 for n>1030.

20190711, 12:15  #10  
Romulan Interpreter
Jun 2011
Thailand
2^{2}×7×317 Posts 
Quote:
I am still actively working this "pet project" but the machines used are slow. More to come soon, give me few hours to arrive home. 

20190829, 12:58  #11 
Romulan Interpreter
Jun 2011
Thailand
2^{2}·7·317 Posts 
2*1595^1755321 is prime! (562188 decimal digits)
18 to go Reported to UTM, waiting verification. 
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