3 019 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
61457903761	11	35.8	old
1503443046719	13	40.5	old
25974876174168771772723513312698518334599	41	134.3	2009-03-02 21:35:52
247347367621203182426952822956437925645521	42	137.5	2009-03-02 21:35:52
3413688676205694570747977428992408957742750972327	49	161.2	2019-09-22 04:28:57

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	17100 / 40830

Estimated T-Level: 52.1 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	27878EAFFA0986E7	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	27878EAFFA0986E7	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	27878EAFFA0986E7	4	2573	1	3
Verified	No proof (small exponent)	2019-09-22	mnd9	61D081E230C5C50B	5	2885	5	3
Verified	No proof (small exponent)	2019-09-22	mnd9	61D081E230C5C50B	5	2032	5	3
Verified	No proof (small exponent)	2019-09-23	marssystems	61D081E230C5C50B	5	2124	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	61D081E230C5C50B	5	2706	5	3

History

Date	User	Type	Result
2025-04-20	masser	NF-PP1	Start=125/19, B1=3100000000, B2=3096900000000
2024-04-01	cramsey87	NF-PM1	B1=100000000000, B2=9788141618605350
2023-06-12	anonymous2	NF-PM1	B1=55555555555, B2=8891649006240
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3019/61457903761/1503443046719/25974876174168771772723513312698518334599/247347367621203182426952822956437925645521/3413688676205694570747977428992408957742750972327 : 61D081E230C5C50B
2019-09-23	marssystems	C-PRP	M3019/61457903761/1503443046719/247347367621203182426952822956437925645521/25974876174168771772723513312698518334599/3413688676205694570747977428992408957742750972327 : 61D081E230C5C50B
2019-09-22	mnd9	C-PRP	M3019/61457903761/1503443046719/247347367621203182426952822956437925645521/25974876174168771772723513312698518334599/3413688676205694570747977428992408957742750972327 : 61D081E230C5C50B
2019-09-22	mnd9	C-PRP	M3019/61457903761/1503443046719/25974876174168771772723513312698518334599/247347367621203182426952822956437925645521/3413688676205694570747977428992408957742750972327 : 61D081E230C5C50B
2019-09-22	Ryan Propper	F-ECM	Factor: 3413688676205694570747977428992408957742750972327
2017-12-07	ATH	C-PRP	M3019/61457903761/1503443046719/25974876174168771772723513312698518334599/247347367621203182426952822956437925645521 : 27878EAFFA0986E7
2017-10-02	kkmrkkblmbrbk	C-PRP	M3019/61457903761/1503443046719/25974876174168771772723513312698518334599/247347367621203182426952822956437925645521 : 27878EAFFA0986E7
2017-09-21	Oliver Kruse	C-PRP	M3019/known_factors : 27878EAFFA0986E7
2009-03-02	-anonymous-	F-ECM	Factor: 25974876174168771772723513312698518334599
2009-03-02	-anonymous-	F-ECM	Factor: 247347367621203182426952822956437925645521
2009-03-02	kiwiboy	F	Factor: 92398458075400928810159