4 013 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
120391	6	16.9	old
143170830211583638257737297	27	86.9	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	18871 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 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	214BC4A7090A265D	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	214BC4A7090A265D	2	1907	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6563994E2D026FE4	2	1362	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6563994E2D026FE4	2	3982	5	3

History

Date	User	Type	Result
2025-05-10	masser	NF-PP1	Start=150/17, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M4013/120391/143170830211583638257737297 : 6563994E2D026FE4
2023-05-16	-anonymous-	NF-PM1	B1=81000000000, B2=812832933743280450
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=239432550687330
2021-12-14	Oliver Kruse	NF-PM1	B1=1000000000, B2=277211549604990
2021-12-14	ANONYMOUS	NF-PM1	B1=5000000, B2=35575931300910
2020-04-17	Oliver Kruse	C-PRP	M4013/120391/143170830211583638257737297 : 6563994E2D026FE4
2017-10-12	kkmrkkblmbrbk	C-PRP	M4013/120391/143170830211583638257737297 : 214BC4A7090A265D
2017-09-21	Oliver Kruse	C-PRP	M4013/120391/143170830211583638257737297 : 214BC4A7090A265D
2017-09-21	Oliver Kruse	C-PRP	M4013/120391/143170830211583638257737297 : 214BC4A7090A265D