4 027 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
82185762602338638075357407556967313	35	116.0	old
1322603807888784213814883095222492416081030114751	49	159.9	2020-10-01 12:04:10
55073558028420981931736977815277884416973711443146602259410542519	65	215.1	2021-04-19 16:57:52

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	19250 / 40830

Estimated T-Level: 52.4 ⓘ

TF below 2^169 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	C88D2D68CF553369	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	C88D2D68CF553369	1	842	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	872B4531B1C5209A	1	1889	5	3
Verified (Factored)	2020-10-01	mnd9	872B4531B1C5209A	2	3186	5	3
Verified (Factored)	2020-10-02	LordJulius	872B4531B1C5209A	2	2212	5	3
Verified	2021-04-19	mnd9	872B4531B1C5209A	3	3444	5	3
Verified	2021-04-20	XZT	872B4531B1C5209A	3	1882	5	3

History

Date	User	Type	Result
2023-05-16	-Anonymous-	NF-PM1	B1=81000000000, B2=812832933743280450
2021-04-20	XZT	C-PRP	M4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751/55073558028420981931736977815277884416973711443146602259410542519 : 872B4531B1C5209A PRP: Verified PRP without proof (small exponent)
2021-04-19	mnd9	C-PRP	M4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751/55073558028420981931736977815277884416973711443146602259410542519 : 872B4531B1C5209A PRP: Verified PRP without proof (small exponent)
2021-04-19	Ryan Propper	F-ECM	Factor: 55073558028420981931736977815277884416973711443146602259410542519 / (ECM curve 1, B1=260000000, B2=3039198402256, Sigma=2267136871149356697)
2020-10-02	LordJulius	C-PRP	M4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751 : 872B4531B1C5209A PRP: Verified PRP without proof (small exponent)
2020-10-01	mnd9	C-PRP	M4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751 : 872B4531B1C5209A PRP: Verified PRP without proof (small exponent)
2020-10-01	Ryan Propper	F-ECM	Factor: 1322603807888784213814883095222492416081030114751 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=6082699471423120831)
2020-04-17	Oliver Kruse	C-PRP	M4027/82185762602338638075357407556967313 : 872B4531B1C5209A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4027/82185762602338638075357407556967313 : C88D2D68CF553369 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4027/82185762602338638075357407556967313 : C88D2D68CF553369 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4027/82185762602338638075357407556967313 : C88D2D68CF553369 PRP without proof (not generated)