4 999 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
209959	6	17.7	old
1094271103	10	30.0	old
93699027170851916632102805780122457369	38	126.1	2015-11-11 16:36:45
37738793007053340151036356152778315369881983	44	144.8	2020-10-15 13:30:11

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	14674 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	ED0F68B67647F24C	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	ED0F68B67647F24C	3	0	1	3
Verified (Factored)	2017-12-07	ATH	ED0F68B67647F24C	3	4118	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	01DD1DC1CAF5EC1F	3	3158	5	3
Verified	2020-10-15	mrh	01DD1DC1CAF5EC1F	4	4257	5	3

History

Date	User	Type	Result
2023-06-01	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242002648447560
2020-10-15	mrh	C-PRP	M4999/209959/1094271103/93699027170851916632102805780122457369/37738793007053340151036356152778315369881983 : 01DD1DC1CAF5EC1F PRP: Verified PRP without proof (small exponent)
2020-10-15	Ryan Propper	F-ECM	Factor: 37738793007053340151036356152778315369881983 / (ECM curve 1, B1=260000000, B2=3104064163218, Sigma=4984608153299308681)
2020-04-17	Oliver Kruse	C-PRP	M4999/209959/1094271103/93699027170851916632102805780122457369 : 01DD1DC1CAF5EC1F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4999/209959/1094271103/93699027170851916632102805780122457369 : ED0F68B67647F24C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4999/209959/1094271103/93699027170851916632102805780122457369 : ED0F68B67647F24C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4999/known_factors : ED0F68B67647F24C PRP without proof (not generated)
2015-11-11	BloodIce	F-ECM	Factor: 93699027170851916632102805780122457369 / (ECM curve 2341, B1=3000000, B2=300000000)