251 429 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
8045729	7	22.9	old
119168101742417489617	21	66.7	2014-08-15 10:41:48
503942919457450618790753992927	30	98.7	2021-03-01 21:53:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	446 / 640

Estimated T-Level: 28.5 ⓘ

TF below 2^90 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	D2C90CBDD6B0CA50	2	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	D2C90CBDD6B0CA50	2	161421	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	D2C90CBDD6B0CA50	2	213868	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2AB313904245EC14	2	57908	5	3
Verified	2021-03-03	mnd9	2AB313904245EC14	3	24181	5	3
Verified	2021-03-03	LaurV	2AB313904245EC14	3	9025	5	3

History

Date	User	Type	Result
2022-04-20	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2021-08-20	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2021-05-30	ViliamF	NF-PM1	B1=50000000, B2=7150000000
2021-03-03	Ben Delo	CERT	PRP Certification Proof certified good
2021-03-03	LaurV	C-PRP	M251429/8045729/119168101742417489617/503942919457450618790753992927 : 2AB313904245EC14 PRP proof power = 5 PRP: Verified Proof certified good
2021-03-03	mnd9	C-PRP	M251429/8045729/119168101742417489617/503942919457450618790753992927 : 2AB313904245EC14 PRP: Verified PRP without proof (small exponent)
2021-03-01	Poao	F-ECM	Factor: 503942919457450618790753992927 / (ECM curve 7, B1=250000, B2=25000000, Sigma=685495593180436)
2020-04-17	Oliver Kruse	C-PRP	M251429/8045729/119168101742417489617 : 2AB313904245EC14 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M251429/8045729/119168101742417489617 : D2C90CBDD6B0CA50 PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M251429/8045729/119168101742417489617 : D2C90CBDD6B0CA50 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M251429/8045729/119168101742417489617 : D2C90CBDD6B0CA50 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M251429/8045729/119168101742417489617 : D2C90CBDD6B0CA50 PRP without proof (not generated)
2014-08-15	TJAOI	F-ECM	Factor: 119168101742417489617