1 319 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
712292734142687	15	49.3	old
4561015525367423385817952015799767	34	111.8	old
528143874978418020442958250948319387628471	42	138.6	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	78629 / 194238

Estimated T-Level: 62.0 ⓘ

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)	2017-09-27	Oliver Kruse	B7ABD181BE7E7D8A	3	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	B7ABD181BE7E7D8A	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B7ABD181BE7E7D8A	3	1116	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EEEFB878207C8738	3	644	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	EEEFB878207C8738	3	536	5	3

History

Date	User	Type	Result
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	M1319/712292734142687/4561015525367423385817952015799767/528143874978418020442958250948319387628471 : EEEFB878207C8738
2020-04-17	Oliver Kruse	C-PRP	M1319/712292734142687/4561015525367423385817952015799767/528143874978418020442958250948319387628471 : EEEFB878207C8738
2017-10-12	kkmrkkblmbrbk	C-PRP	M1319/712292734142687/4561015525367423385817952015799767/528143874978418020442958250948319387628471 : B7ABD181BE7E7D8A
2017-10-09	Chang Chia-Tche	C-PRP	M1319/known_factors : B7ABD181BE7E7D8A
2017-09-27	Oliver Kruse	C-PRP	M1319/712292734142687/4561015525367423385817952015799767/528143874978418020442958250948319387628471 : B7ABD181BE7E7D8A
2017-09-25	csaba	C-PRP	M1319/known_factors : B7ABD181BE7E7D8A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2009-10-25	Carsten Kossendey	F-PM1	Factor: 712292734142687