862 783 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13804529	8	23.7	old
5905761887769635351	19	62.4	2016-01-22 16:36:35
104814216975265556279	21	66.5	2016-01-22 16:36:35
267417494787882500368519	24	77.8	2016-01-22 16:36:36
35895341459718270686764697	26	84.9	2019-09-30 12:54:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	24F3BE3DBF39B95E	4	0	1	3
Verified (Factored)	2017-10-14	Oliver Kruse	24F3BE3DBF39B95E	4	818348	1	3
Verified	2019-10-01	J.de Groot	915A9194F1C8634B	5	63958	5	3
Verified	2019-10-02	marssystems	915A9194F1C8634B	5	859696	5	3

History

Date	User	Type	Result
2024-09-29	timc995	NF-PM1	B1=2000000, B2=44753558850
2022-10-24	LordJulius	NF	no factor from 2^67 to 2^68
2022-10-24	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-24	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-24	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-24	LordJulius	NF	no factor from 2^61 to 2^62
2022-10-24	LordJulius	NF	no factor from 2^60 to 2^61
2019-10-02	marssystems	C-PRP	M862783/13804529/104814216975265556279/5905761887769635351/267417494787882500368519/35895341459718270686764697 : 915A9194F1C8634B PRP: Verified PRP without proof (small exponent)
2019-10-01	J.de Groot	C-PRP	M862783/13804529/104814216975265556279/5905761887769635351/267417494787882500368519/35895341459718270686764697 : 915A9194F1C8634B PRP: Verified PRP without proof (small exponent)
2019-09-30	TJAOI	F-ECM	Factor: 35895341459718270686764697 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-14	Oliver Kruse	C-PRP	M862783/13804529/104814216975265556279/5905761887769635351/267417494787882500368519 : 24F3BE3DBF39B95E PRP: Verified PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M862783/104814216975265556279/13804529/267417494787882500368519/5905761887769635351 : 24F3BE3DBF39B95E PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M862783/13804529/104814216975265556279/5905761887769635351/267417494787882500368519 : 24F3BE3DBF39B95E PRP without proof (not generated)
2016-01-22	TJAOI	F-ECM	Factor: 267417494787882500368519 / (ECM curve 10, B1=50000, B2=5000000)
2016-01-22	TJAOI	F-ECM	Factor: 5905761887769635351 / (ECM curve 46, B1=50000, B2=5000000)
2016-01-22	TJAOI	F-ECM	Factor: 104814216975265556279 / (ECM curve 1, B1=50000, B2=5000000)