2 617 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
78511	5	16.3	old
2213983	7	21.1	old
598532486756873	15	49.1	old
428903971813560875620325628252666007263131547697	48	158.2	2014-05-27 20:44:32

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	8825 / 40830

Estimated T-Level: 51.1 ⓘ

TF below 2^165 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	F55FE749AA2A820A	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F55FE749AA2A820A	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F55FE749AA2A820A	4	1124	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5A82BEA293DBCF8C	4	632	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5A82BEA293DBCF8C	4	521	5	3

History

Date	User	Type	Result
2025-04-10	masser	NF-PP1	Start=182/29, B1=4300000000, B2=4295700000000
2024-05-30	masser	NF-PM1	B1=100000000000, B2=262663502299027830
2024-02-03	Wentao Huang	C-PRP	M2617/78511/2213983/598532486756873/428903971813560875620325628252666007263131547697 : 5A82BEA293DBCF8C
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2617/78511/2213983/598532486756873/428903971813560875620325628252666007263131547697 : 5A82BEA293DBCF8C
2017-12-07	ATH	C-PRP	M2617/78511/2213983/598532486756873/428903971813560875620325628252666007263131547697 : F55FE749AA2A820A
2017-10-02	kkmrkkblmbrbk	C-PRP	M2617/78511/2213983/598532486756873/428903971813560875620325628252666007263131547697 : F55FE749AA2A820A
2017-09-21	Oliver Kruse	C-PRP	M2617/known_factors : F55FE749AA2A820A
2014-05-27	Matthias Wurtinger	F-ECM	Factor: 428903971813560875620325628252666007263131547697