20230221, 22:45  #78  
Sep 2002
Database er0rr
4,549 Posts 
Quote:
Quote:
R109297 should be doable with 4x the resources Greg used Last fiddled with by paulunderwood on 20230221 at 22:56 

20230224, 22:57  #79 
Jun 2015
Vallejo, CA/.
2×577 Posts 
So now we have a 73,269 digit proven via ECPP. this is a Leyland Prime. One that cannot be proven by specifically tailored methods.
The prime in question is 5^{104824} + 104824^{5} 73269 digits. A couple of things are worth noting: The โgapโ in digits to the next ECPP primes is notable. Over 23000 digits more than the one just discovered only 2 months ago. The largest 8 ECPP primes have been discovered in the past 52 weeks. We can only assume that R86453 will be proven prime in the fairly near future as it is only twice as hard as this one just discovered. Huge congratulation to Greg Childers. Last fiddled with by rudy235 on 20230224 at 22:58 Reason: typo 
20230225, 17:12  #80 
"Oliver"
Sep 2017
Porta Westfalica, DE
1440_{10} Posts 
Do you mean the smallest number with 100,000 decimal digits that is prime or with at least 100,000 decimal digits? In the latter case, it is February 17, 1992, when M756,839 was discovered.
In the former, that should be 10^{99,999}+309,403, if my quick calculations are correct. Last fiddled with by kruoli on 20230225 at 17:38 Reason: Corrected as pointed out by xilman. 
20230225, 17:35  #81  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
11,719 Posts 
Quote:
In the former, that should be 10^{99,999}+309403, if my quick calculations are correct. 

20230225, 20:09  #83 
Sep 2002
Database er0rr
11C5_{16} Posts 
Comparing total CPU hours for Greg's recent proof with Andreas's expected proof of R86453, the minimal 100k digit number and R109297:
Code:
? (86453/73269.)^4 1.9383813225131506029336873744208292121 ? (100000/73269.)^4 3.4699158544965667114008777645966191866 ? (109297/73269.)^4 4.9516724586074826088662323174646459749 Last fiddled with by paulunderwood on 20230225 at 20:52 
20230304, 13:45  #84  
"Jeppe"
Jan 2016
Denmark
BC_{16} Posts 
Quote:
However, given the context of the thread, it is virtually certain xilman meant the first prime with at least 100'000 digits proven prime with the ECPP method. /JeppeSN 

20230304, 18:46  #85 
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
11719_{10} Posts 

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