1 583 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
3167	4	11.6	old
189961	6	17.5	old
8589359	7	23.0	old
43817441	8	25.4	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	157786 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 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	8F8A1798837DCA28	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	8F8A1798837DCA28	4	1126	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	506D4E04FF18A42B	4	1153	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	506D4E04FF18A42B	4	950	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	506D4E04FF18A42B	1	722	5	3

History

Date	User	Type	Result
2024-03-01	masser	NF-PM1	B1=250000000000, B2=1392896430393257790
2022-05-12	Jorge Coveiro	C-PRP	M1583/3167 : 506D4E04FF18A42B
2021-12-16	ATH	NF-PM1	B1=30000000000, B2=10080814948844640
2021-12-14	Oliver Kruse	NF-PM1	B1=10000000000, B2=7027632638876850
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1583/3167/189961/8589359/43817441 : 506D4E04FF18A42B
2020-04-17	Oliver Kruse	C-PRP	M1583/3167/189961/8589359/43817441 : 506D4E04FF18A42B
2017-10-12	kkmrkkblmbrbk	C-PRP	M1583/3167/189961/8589359/43817441 : 8F8A1798837DCA28
2017-09-21	Oliver Kruse	C-PRP	M1583/3167/189961/8589359/43817441 : 8F8A1798837DCA28
2017-09-21	Oliver Kruse	C-PRP	M1583/3167/189961/8589359/43817441 : 8F8A1798837DCA28
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12