5 479 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
753523338932084919041220877353528938929	39	129.1	old
13557556381615196797243034050392909446329	41	133.3	2016-10-08 20:47:16
594861941022398399809492969711890017844529079	45	148.7	2020-10-06 19:35:32

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	11100 / 16550

Estimated T-Level: 48.4 ⓘ

TF below 2^156 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	F1CA45F9006A3A68	2	0	1	3
Verified (Factored)	2017-09-26	George Woltman	F1CA45F9006A3A68	2	574	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F1CA45F9006A3A68	2	0	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0F594B52F34E0081	2	525	5	3
Verified	2020-10-07	mnd9	0F594B52F34E0081	3	3532	5	3
Verified	2020-10-07	tottenhoff	0F594B52F34E0081	3	1613	5	3

History

Date	User	Type	Result
2023-07-11	-Anonymous-	NF-PM1	B1=46000000000, B2=193133522175293700
2022-01-24	Ethan O'Connor	NF-PM1	B1=1395865000
2020-10-07	tottenhoff	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329/594861941022398399809492969711890017844529079 : 0F594B52F34E0081 PRP: Verified PRP without proof (small exponent)
2020-10-07	mnd9	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329/594861941022398399809492969711890017844529079 : 0F594B52F34E0081 PRP: Verified PRP without proof (small exponent)
2020-10-06	Ryan Propper	F-ECM	Factor: 594861941022398399809492969711890017844529079 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=11992082676013152605)
2020-04-17	Oliver Kruse	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329 : 0F594B52F34E0081 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329 : F1CA45F9006A3A68 PRP: Verified PRP without proof (not generated)
2017-09-26	George Woltman	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329 : F1CA45F9006A3A68 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M5479/753523338932084919041220877353528938929/13557556381615196797243034050392909446329 : F1CA45F9006A3A68 PRP: Verified PRP without proof (not generated)
2016-10-08	kkmrkkblmbrbk	F-ECM	Factor: 13557556381615196797243034050392909446329 / (ECM curve 1893, B1=3000000, B2=300000000)