364 747 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
56240342847977	14	45.7	old
71777063916378127	17	56.0	2014-10-10 12:42:36
190857033179054532529	21	67.4	2014-10-10 12:42:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	378 / 640

Estimated T-Level: 28.0 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	368A8B8E76332A36	3	0	1	3
Verified	2017-10-13	Oliver Kruse	368A8B8E76332A36	3	307639	1	3
Verified	2017-12-15	ATH	368A8B8E76332A36	3	159310	1	3
Verified	2020-04-18	Oliver Kruse	CF7E8C9C47B860E7	3	265285	5	3
Verified	2024-09-22	kkmrkkblmbrbk	CF7E8C9C47B860E7	3	127118	5	3

History

Date	User	Type	Result
2024-09-22	Poao	CERT	PRP Certification Proof certified good
2024-09-22	kkmrkkblmbrbk	C-PRP	M364747/56240342847977/71777063916378127/190857033179054532529 : CF7E8C9C47B860E7 PRP proof power = 5 PRP: Verified Proof certified good
2024-05-27	yuriy_5-1	NF-PM1	B1=2000004, B2=71076355350
2024-02-16	Denial140	NF-PM1	B1=1000000, B2=2528355060
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-18	Oliver Kruse	C-PRP	M364747/56240342847977/71777063916378127/190857033179054532529 : CF7E8C9C47B860E7 PRP: Verified PRP without proof (small exponent)
2017-12-15	ATH	C-PRP	M364747/56240342847977/71777063916378127/190857033179054532529 : 368A8B8E76332A36 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M364747/56240342847977/190857033179054532529/71777063916378127 : 368A8B8E76332A36 PRP: Verified PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M364747/known_factors : 368A8B8E76332A36 PRP without proof (not generated)
2014-10-10	TJAOI	F-ECM	Factor: 71777063916378127
2014-10-10	TJAOI	F-ECM	Factor: 190857033179054532529