8 627 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
123348847	9	26.9	old
1429764598007	13	40.4	old
6675871535988671	16	52.6	old
199774133443790513	18	57.5	old
419109812630427361	18	58.5	old
617439464973514186509350238353	30	99.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	E553B4091A31B9E7	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E553B4091A31B9E7	6	0	1	3
Verified	2017-12-07	ATH	E553B4091A31B9E7	6	1168	1	3
Verified	2020-04-17	Oliver Kruse	C119ADB25F9B6B8B	6	5636	5	3
Verified	2024-07-01	kkmrkkblmbrbk	C119ADB25F9B6B8B	6	4919	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8627/123348847/1429764598007/199774133443790513/419109812630427361/617439464973514186509350238353/6675871535988671 : C119ADB25F9B6B8B PRP: Verified PRP without proof (small exponent)
2023-08-13	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8627/123348847/1429764598007/6675871535988671/199774133443790513/419109812630427361/617439464973514186509350238353 : C119ADB25F9B6B8B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8627/123348847/1429764598007/6675871535988671/199774133443790513/419109812630427361/617439464973514186509350238353 : E553B4091A31B9E7 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8627/123348847/1429764598007/6675871535988671/199774133443790513/419109812630427361/617439464973514186509350238353 : E553B4091A31B9E7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8627/known_factors : E553B4091A31B9E7 PRP without proof (not generated)