1 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2903	4	11.5	old
174121	6	17.4	old
696481	6	19.4	old
17009142910813751	17	53.9	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	44131 / 105362

Estimated T-Level: 57.1 ⓘ

TF below 2^185 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	89EA56F359B5226E	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	89EA56F359B5226E	4	1035	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	FAA6B08997FF2892	4	477	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	FAA6B08997FF2892	4	1161	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	FAA6B08997FF2892	1	1221	5	3

History

Date	User	Type	Result
2022-05-12	Jorge Coveiro	C-PRP	M1451/2903 : FAA6B08997FF2892
2021-07-20	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2021-03-27	nordi	NF-PM1	B1=1000000000000, B2=2232843418649129478
2020-08-12	_p95holder_	C-PRP	M1451/2903/174121/696481/17009142910813751 : FAA6B08997FF2892
2020-04-17	Oliver Kruse	C-PRP	M1451/2903/174121/696481/17009142910813751 : FAA6B08997FF2892
2017-10-12	kkmrkkblmbrbk	C-PRP	M1451/2903/174121/696481/17009142910813751 : 89EA56F359B5226E
2017-09-21	Oliver Kruse	C-PRP	M1451/2903/174121/696481/17009142910813751 : 89EA56F359B5226E
2017-09-21	Oliver Kruse	C-PRP	M1451/2903/174121/696481/17009142910813751 : 89EA56F359B5226E
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12