192 319 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
35677866967	11	35.1	old
3971498510383	13	41.9	2008-07-27 10:50:01
7006505164273204679	19	62.6	2014-07-06 10:38:51
131713870150710973144567447903007	33	106.7	2021-05-24 10:57:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	162 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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	F1332D57F94EB48C	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	F1332D57F94EB48C	3	75113	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	40DE89D3A12FC956	3	176331	5	3
Verified	2021-05-24	mnd9	40DE89D3A12FC956	4	127878	5	3
Verified	2021-05-26	kutens	40DE89D3A12FC956	4	146176	5	3
Verified	2023-08-24	USAFSS	40DE89D3A12FC956	4	139511	5	3

History

Date	User	Type	Result
2023-08-24	MathEnthousiast	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M192319/35677866967/3971498510383/7006505164273204679/131713870150710973144567447903007 : 40DE89D3A12FC956 PRP proof power = 5 PRP: Verified Proof certified good
2021-05-26	Jayder	CERT	PRP Certification Proof certified good
2021-05-26	kutens	C-PRP	M192319/35677866967/3971498510383/7006505164273204679/131713870150710973144567447903007 : 40DE89D3A12FC956 PRP proof power = 5 PRP: Verified Proof certified good
2021-05-24	mnd9	C-PRP	M192319/35677866967/3971498510383/7006505164273204679/131713870150710973144567447903007 : 40DE89D3A12FC956 PRP: Verified PRP without proof (small exponent)
2021-05-24	_p95holder_	F-ECM	Factor: 131713870150710973144567447903007 / (ECM curve 1, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M192319/35677866967/3971498510383/7006505164273204679 : 40DE89D3A12FC956 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M192319/35677866967/3971498510383/7006505164273204679 : F1332D57F94EB48C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M192319/known_factors : F1332D57F94EB48C PRP without proof (not generated)
2017-08-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-07-06	TJAOI	F-ECM	Factor: 7006505164273204679
2008-07-27	J Feitsma	F	Factor: 3971498510383