2 239 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
4183719099359	13	41.9	old
656574385529999	15	49.2	old
8666546715786809	16	52.9	old
519039424697883380870471	24	78.8	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	63672 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	48041B2F241E8165	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	48041B2F241E8165	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	48041B2F241E8165	4	1002	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C727712E8794A8E8	4	1550	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	C727712E8794A8E8	4	1114	5	3

History

Date	User	Type	Result
2025-04-03	masser	NF-PP1	Start=174/13, B1=4400000000, B2=4395600000000
2024-02-03	Wentao Huang	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : C727712E8794A8E8
2022-10-03	BloodIce	NF-PM1	B1=1000000000000, B2=1310738763832658160
2022-09-04	BloodIce	NF-PM1	B1=100000000000, B2=131076241386900810
2022-08-30	BloodIce	NF-PM1	B1=10000000000, B2=8197466515738500
2020-04-17	Oliver Kruse	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : C727712E8794A8E8
2017-12-07	ATH	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : 48041B2F241E8165
2017-10-02	kkmrkkblmbrbk	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : 48041B2F241E8165
2017-09-21	Oliver Kruse	C-PRP	M2239/known_factors : 48041B2F241E8165
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F-PM1	Factor: 8666546715786809