154 873 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3407207	7	21.7	old
7542645908729	13	42.8	2008-07-27 10:49:06
207748621420074359715143	24	77.5	2014-06-02 11:42:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	175 / 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	2017-09-22	Oliver Kruse	8F78CCAD7F0B860D	3	0	1	3
Verified	2017-10-11	kkmrkkblmbrbk	8F78CCAD7F0B860D	3	106543	1	3
Verified	2020-04-17	Oliver Kruse	8167536D12DA6DB3	3	91931	5	3
Verified	2024-02-03	Wentao Huang	8167536D12DA6DB3	3	82251	5	3

History

Date	User	Type	Result
2024-02-03	Catalyst	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M154873/3407207/7542645908729/207748621420074359715143 : 8167536D12DA6DB3 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M154873/3407207/7542645908729/207748621420074359715143 : 8167536D12DA6DB3 PRP: Verified PRP without proof (small exponent)
2017-10-11	kkmrkkblmbrbk	C-PRP	M154873/3407207/7542645908729/207748621420074359715143 : 8F78CCAD7F0B860D PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M154873/known_factors : 8F78CCAD7F0B860D PRP without proof (not generated)
2016-12-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-06-02	TJAOI	F-ECM	Factor: 207748621420074359715143
2008-07-27	J Feitsma	F	Factor: 7542645908729