1 493 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3788526319	10	31.8	old
9128086063638824541964831110329768544223	40	132.7	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	36434 / 40830

Estimated T-Level: 54.5 ⓘ

TF below 2^176 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	F054E5AE351E5121	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F054E5AE351E5121	2	0	1	3
Verified	2017-12-07	ATH	F054E5AE351E5121	2	372	1	3
Verified	2020-04-17	Oliver Kruse	A67B69E84E0FF3EE	2	986	5	3
Verified	2020-08-12	_p95holder_	A67B69E84E0FF3EE	2	1089	5	3

History

Date	User	Type	Result
2021-07-21	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	M1493/3788526319/9128086063638824541964831110329768544223 : A67B69E84E0FF3EE PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1493/3788526319/9128086063638824541964831110329768544223 : A67B69E84E0FF3EE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M1493/3788526319/9128086063638824541964831110329768544223 : F054E5AE351E5121 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1493/3788526319/9128086063638824541964831110329768544223 : F054E5AE351E5121 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1493/known_factors : F054E5AE351E5121 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12