2 239 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

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	63644 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	48041B2F241E8165	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	48041B2F241E8165	4	0	1	3
Verified	2017-12-07	ATH	48041B2F241E8165	4	1002	1	3
Verified	2020-04-17	Oliver Kruse	C727712E8794A8E8	4	1550	5	3
Verified	2024-02-03	Wentao Huang	C727712E8794A8E8	4	1114	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : C727712E8794A8E8 PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : 48041B2F241E8165 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2239/4183719099359/656574385529999/8666546715786809/519039424697883380870471 : 48041B2F241E8165 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2239/known_factors : 48041B2F241E8165 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12