19 793 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
23553671	8	24.5	old
237691563911	12	37.8	2008-08-26 19:58:57
7558854702137	13	42.8	2008-08-26 19:58:57
13735505076657215405791	23	73.5	2008-10-16 23:57:28
134866517440126615734641	24	76.8	2008-10-16 23:57:29
1078364964567061647494182391	28	89.8	2009-06-16 13:02:55
121867340633662928001241209135647	33	106.6	2017-03-31 18:53:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1781 / 9201

Estimated T-Level: 41.0 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F6C85429469EA7A0	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F6C85429469EA7A0	7	0	1	3
Verified	2017-12-07	ATH	F6C85429469EA7A0	7	14329	1	3
Unverified	2020-04-17	Oliver Kruse	CA3A0B72EBD5FD__	7	18638	5	3

P-1 factors

Date	Factor	B1	B2
2017-03-31	121867340633662928001241209135647	10000000000	1206738685689916

History

Date	User	Type	Result
2020-04-17	Oliver Kruse	C-PRP	M19793/23553671/237691563911/7558854702137/13735505076657215405791/134866517440126615734641/1078364964567061647494182391/121867340633662928001241209135647 : CA3A0B72EBD5FD__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M19793/23553671/237691563911/7558854702137/13735505076657215405791/134866517440126615734641/1078364964567061647494182391/121867340633662928001241209135647 : F6C85429469EA7A0 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M19793/23553671/237691563911/7558854702137/13735505076657215405791/134866517440126615734641/1078364964567061647494182391/121867340633662928001241209135647 : F6C85429469EA7A0 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M19793/23553671/237691563911/7558854702137/13735505076657215405791/134866517440126615734641/1078364964567061647494182391/121867340633662928001241209135647 : F6C85429469EA7A0 PRP without proof (not generated)
2017-03-31	kkmrkkblmbrbk	F-PM1	Factor: 121867340633662928001241209135647 / (P-1, B1=10000000000, B2=1206738685689916)
2009-06-16	Rob_Dee	F-ECM	Factor: 1078364964567061647494182391
2008-10-16	-Anonymous-	F-ECM	Factor: 134866517440126615734641
2008-10-16	-Anonymous-	F-ECM	Factor: 13735505076657215405791
2008-08-26	-Anonymous-	F	Factor: 7558854702137
2008-08-26	-Anonymous-	F	Factor: 237691563911