3 209 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
314661421704271	15	48.2	old
101202489584358535872055967699759	33	106.3	old
789280821254323751805715552991724559643060667828229293239	57	189.0	2020-08-02 15:06:01

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	15128 / 40830

Estimated T-Level: 51.9 ⓘ

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	16FB6F5E5CB507AD	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	16FB6F5E5CB507AD	2	0	1	3
Verified (Factored)	2017-12-07	ATH	16FB6F5E5CB507AD	2	1955	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A055EEDB2809C59E	2	1289	5	3
Verified	2020-08-02	James Heinrich	A055EEDB2809C59E	3	1329	5	3
Verified	2020-08-03	xyuzyz	A055EEDB2809C59E	3	1458	5	3
Verified	2025-10-06	Dobri	A055EEDB2809C59E	3	1312	5	3

History

Date	User	Type	Result
2025-10-06	Dobri	C-PRP	M3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E PRP: Verified PRP without proof (small exponent)
2025-04-26	masser	NF-PP1	Start=189/43, B1=3100000000, B2=3096900000000
2022-04-14	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-08-03	xyuzyz	C-PRP	M3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E PRP: Verified PRP without proof (small exponent)
2020-08-02	James Heinrich	C-PRP	M3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E PRP: Verified PRP without proof (small exponent)
2020-08-02	Ryan Propper	F-ECM	Factor: 789280821254323751805715552991724559643060667828229293239 / (ECM curve 1, B1=850000000)
2020-04-17	Oliver Kruse	C-PRP	M3209/314661421704271/101202489584358535872055967699759 : A055EEDB2809C59E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3209/314661421704271/101202489584358535872055967699759 : 16FB6F5E5CB507AD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3209/314661421704271/101202489584358535872055967699759 : 16FB6F5E5CB507AD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3209/known_factors : 16FB6F5E5CB507AD PRP without proof (not generated)