2 237 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
62230238489139119544516113	26	85.7	old
261337758224595425287763910254222231	36	117.7	old
75045288029146595679895137213437834049916543	44	145.8	2008-11-22 12:25:27

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	61750 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 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	060FDDF0308179D7	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	060FDDF0308179D7	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	060FDDF0308179D7	3	960	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B83E40272B140692	3	266	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B83E40272B140692	3	1440	5	3

History

Date	User	Type	Result
2025-04-07	masser	NF-PP1	Start=184/47, B1=4400000000, B2=4395600000000
2024-02-03	Wentao Huang	C-PRP	M2237/62230238489139119544516113/261337758224595425287763910254222231/75045288029146595679895137213437834049916543 : B83E40272B140692
2022-11-13	BloodIce	NF-PM1	B1=1000000000000, B2=1310757200790016980
2022-09-01	BloodIce	NF-PM1	B1=100000000000, B2=131076241386900810
2022-08-29	BloodIce	NF-PM1	B1=10000000000, B2=8197466515738500
2020-04-17	Oliver Kruse	C-PRP	M2237/62230238489139119544516113/261337758224595425287763910254222231/75045288029146595679895137213437834049916543 : B83E40272B140692
2017-12-07	ATH	C-PRP	M2237/62230238489139119544516113/261337758224595425287763910254222231/75045288029146595679895137213437834049916543 : 060FDDF0308179D7
2017-10-02	kkmrkkblmbrbk	C-PRP	M2237/62230238489139119544516113/261337758224595425287763910254222231/75045288029146595679895137213437834049916543 : 060FDDF0308179D7
2017-09-21	Oliver Kruse	C-PRP	M2237/known_factors : 060FDDF0308179D7
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2008-11-22	-anonymous-	F-ECM	Factor: 75045288029146595679895137213437834049916543