238 709 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
4429961623	10	32.0	old
7220017244366231227740759690457	31	102.5	2017-08-25 10:14:46
5362474603491799962825778168825875737	37	122.0	2021-07-16 04:10:45

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	471 / 640

Estimated T-Level: 28.7 ⓘ

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	DB0B9F7EEF012D69	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	DB0B9F7EEF012D69	2	179430	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D7BBC1217280D553	2	40164	5	3
Verified	2021-07-16	123456789123456789	D7BBC1217280D553	3	27535	5	3

P-1 factors

Date	Factor	B1	B2
2021-07-16	5362474603491799962825778168825875737	30000000	3000000000

History

Date	User	Type	Result
2022-04-04	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2021-07-16	sveng101	CERT	PRP Certification Proof certified good
2021-07-16	123456789123456789	C-PRP	M238709/4429961623/7220017244366231227740759690457/5362474603491799962825778168825875737 : D7BBC1217280D553 PRP proof power = 5 PRP: Verified Proof certified good
2021-07-16	Oliver Kruse	F-PM1	Factor: 5362474603491799962825778168825875737 / (P-1, B1=30000000, B2=3000000000, E=24)
2020-04-17	Oliver Kruse	C-PRP	M238709/4429961623/7220017244366231227740759690457 : D7BBC1217280D553 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M238709/4429961623/7220017244366231227740759690457 : DB0B9F7EEF012D69 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M238709/known_factors : DB0B9F7EEF012D69 PRP without proof (not generated)
2017-08-25	TJAOI	F-ECM	Factor: 7220017244366231227740759690457 / (ECM curve 19, B1=250000, B2=25000000)