3 821 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1202044752409	13	40.1	old
506177456207885379934127	24	78.7	old

TF

Trial Factored to 2⁶⁸

TF target 2⁴⁴

P-1 factors

Date	Factors	B1	B2
2024-04-02	No new factors discovered	5000000000	5000000000

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	17185 / 40830

Estimated T-Level: 52.1 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	19EF04F4C41A94EC	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	19EF04F4C41A94EC	2	3472	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	01C94EC91311DDCA	2	2861	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	01C94EC91311DDCA	2	2947	5	3
Verified	No proof (small exponent)	2024-04-02	cramsey87	01C94EC91311DDCA	2	3516	5	3

History

Date	User	Type	Result
2025-06-03	masser	NF-PM1	B1=100000000000, B2=962332895341457640
2025-05-07	masser	NF-PP1	Start=188/59, B1=2600000000, B2=2597400000000
2024-07-03	masser	NF-PM1	B1=77000000000, B2=107388476724028500
2024-04-03	cramsey87	NF-PM1	B1=5000000000, B2=620575825127698440
2024-04-02	cramsey87	C-PRP	M3821/1202044752409/506177456207885379934127 : 01C94EC91311DDCA
2024-04-02	cramsey87	F-PM1	Factors: 1202044752409,506177456207885379934127 / B1=5000000000
2024-04-02	cramsey87	NF-PM1	B1=5000000000, B2=51786556739817900
2024-02-03	Wentao Huang	C-PRP	M3821/1202044752409/506177456207885379934127 : 01C94EC91311DDCA
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3821/1202044752409/506177456207885379934127 : 01C94EC91311DDCA
2017-10-12	kkmrkkblmbrbk	C-PRP	M3821/1202044752409/506177456207885379934127 : 19EF04F4C41A94EC
2017-09-21	Oliver Kruse	C-PRP	M3821/1202044752409/506177456207885379934127 : 19EF04F4C41A94EC
2017-09-21	Oliver Kruse	C-PRP	M3821/1202044752409/506177456207885379934127 : 19EF04F4C41A94EC
2005-03-20	-anonymous-	F-PM1	Factor: 506177456207885379934127