154 849 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
3406679	7	21.7	old
38342071189661908794251710600802273441	38	124.9	2016-12-01 13:36:11

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	23D2AEAD1396E346	2	0	1	3
Verified	2017-10-11	kkmrkkblmbrbk	23D2AEAD1396E346	2	138351	1	3
Verified	2020-04-17	Oliver Kruse	D52F742143B50262	2	62359	5	3
Verified	2024-02-03	Wentao Huang	D52F742143B50262	2	11570	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-01	38342071189661908794251710600802273441	100000000	2000000000

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M154849/3406679/38342071189661908794251710600802273441 : D52F742143B50262 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M154849/3406679/38342071189661908794251710600802273441 : D52F742143B50262 PRP: Verified PRP without proof (small exponent)
2017-10-11	kkmrkkblmbrbk	C-PRP	M154849/3406679/38342071189661908794251710600802273441 : 23D2AEAD1396E346 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M154849/known_factors : 23D2AEAD1396E346 PRP without proof (not generated)
2016-12-01	kkmrkkblmbrbk	F-PM1	Factor: 38342071189661908794251710600802273441 / (P-1, B1=100000000, B2=2000000000, E=12)