1 777 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
10663	5	13.4	old
12831449117832857	17	53.5	old
113460041673379080737466244127	30	96.5	old
25984658876757443772701945537650854047	38	124.3	old
3045915502335859982042057324006039124823	40	131.2	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	82150 / 194238

Estimated T-Level: 62.1 ⓘ

TF below 2^201 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	00338632B1B2EA4A	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	00338632B1B2EA4A	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	00338632B1B2EA4A	5	1247	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	71C19C4AC8601D8E	5	1660	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	71C19C4AC8601D8E	5	820	5	3

History

Date	User	Type	Result
2022-09-23	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-24	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1777/10663/12831449117832857/113460041673379080737466244127/25984658876757443772701945537650854047/3045915502335859982042057324006039124823 : 71C19C4AC8601D8E
2020-04-17	Oliver Kruse	C-PRP	M1777/10663/12831449117832857/113460041673379080737466244127/25984658876757443772701945537650854047/3045915502335859982042057324006039124823 : 71C19C4AC8601D8E
2017-12-07	ATH	C-PRP	M1777/10663/12831449117832857/113460041673379080737466244127/25984658876757443772701945537650854047/3045915502335859982042057324006039124823 : 00338632B1B2EA4A
2017-10-02	kkmrkkblmbrbk	C-PRP	M1777/10663/12831449117832857/113460041673379080737466244127/25984658876757443772701945537650854047/3045915502335859982042057324006039124823 : 00338632B1B2EA4A
2017-09-21	Oliver Kruse	C-PRP	M1777/known_factors : 00338632B1B2EA4A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12