182 473 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
748504247	9	29.5	old
1913411879	10	30.8	2008-07-27 10:49:46
17692582081	11	34.0	2008-07-27 10:49:46
6105157288266030601971636011773183	34	112.2	2019-11-21 07:55:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	190 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	336B338D159BC3B7	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	336B338D159BC3B7	3	122436	1	3
Verified	2019-11-21	Niels_Mache_Nextcloud	DF6DB1486B61ED87	4	35946	5	3
Verified	2019-11-22	marssystems	DF6DB1486B61ED87	4	4176	5	3
Verified	2023-08-24	USAFSS	DF6DB1486B61ED87	4	156074	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M182473/748504247/1913411879/17692582081/6105157288266030601971636011773183 : DF6DB1486B61ED87 PRP proof power = 5 PRP: Verified Proof certified good
2019-11-22	marssystems	C-PRP	M182473/748504247/17692582081/1913411879/6105157288266030601971636011773183 : DF6DB1486B61ED87 PRP: Verified PRP without proof (small exponent)
2019-11-21	Niels_Mache_Nextcloud	C-PRP	M182473/748504247/17692582081/1913411879/6105157288266030601971636011773183 : DF6DB1486B61ED87 PRP: Verified PRP without proof (small exponent)
2019-11-21	_p95holder_	F-ECM	Factor: 6105157288266030601971636011773183 / (ECM curve 3, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M182473/748504247/17692582081/1913411879 : 336B338D159BC3B7 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M182473/748504247/17692582081/1913411879 : 336B338D159BC3B7 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M182473/748504247/17692582081/1913411879 : 336B338D159BC3B7 PRP without proof (not generated)
2017-06-04	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-27	J Feitsma	F	Factor: 1913411879
2008-07-27	J Feitsma	F	Factor: 17692582081