1 759 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
5295124011028151	16	52.2	old
4673652603342055740007000595229032807	37	121.8	old
857792004656676728854923602718729286933166391944424534583	57	189.1	2019-10-28 20:31:35

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	82141 / 194238

Estimated T-Level: 62.1 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	85B9A15C1F452968	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	85B9A15C1F452968	2	0	1	3
Verified (Factored)	2017-12-07	ATH	85B9A15C1F452968	2	1609	1	3
Verified	2019-10-28	ATH	8184607029C3D699	3	568	5	3
Verified	2019-10-30	_p95holder_	8184607029C3D699	3	989	5	3
Verified	2019-11-07	kracker	8184607029C3D699	3	1072	5	3
Verified	2020-04-17	Oliver Kruse	8184607029C3D699	3	969	5	3

History

Date	User	Type	Result
2022-09-18	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-24	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-04-17	Oliver Kruse	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807/857792004656676728854923602718729286933166391944424534583 : 8184607029C3D699 PRP: Verified PRP without proof (small exponent)
2019-11-07	kracker	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807/857792004656676728854923602718729286933166391944424534583 : 8184607029C3D699 PRP: Verified PRP without proof (small exponent)
2019-10-30	_p95holder_	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807/857792004656676728854923602718729286933166391944424534583 : 8184607029C3D699 PRP: Verified PRP without proof (small exponent)
2019-10-28	ATH	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807/857792004656676728854923602718729286933166391944424534583 : 8184607029C3D699 PRP: Verified PRP without proof (small exponent)
2019-10-28	Ryan Propper	F-ECM	Factor: 857792004656676728854923602718729286933166391944424534583 / (ECM curve 1, B1=110000000)
2017-12-07	ATH	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807 : 85B9A15C1F452968 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1759/5295124011028151/4673652603342055740007000595229032807 : 85B9A15C1F452968 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1759/known_factors : 85B9A15C1F452968 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12