4 217 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
2184407	7	21.1	old
1398424673	10	30.4	old
2025810565315168189476599	25	80.7	old
100426239504318810301902696360132081572791	42	136.2	2018-05-04 11:12:10

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	20599 / 40830

Estimated T-Level: 52.5 ⓘ

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	E5D9C6FED77FD1AA	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E5D9C6FED77FD1AA	3	0	1	3
Verified (Factored)	2017-12-07	ATH	E5D9C6FED77FD1AA	3	101	1	3
Verified (Factored)	2018-05-05	BloodIce	FA4FD68FA8CEAA12	1	0	1	3
Verified	2018-05-06	Oliver Kruse	D2FB04379CAF0E8B	4	1023	5	3
Verified	2018-05-06	ATH	D2FB04379CAF0E8B	4	1615	5	3
Verified	2020-04-17	Oliver Kruse	D2FB04379CAF0E8B	4	1239	5	3

History

Date	User	Type	Result
2025-05-12	masser	NF-PP1	Start=114/31, B1=2600000000, B2=2597400000000
2023-05-18	-Anonymous-	NF-PM1	B1=76000000000, B2=757396254223799190
2021-12-14	Lisander Viaene	NF-PM1	B1=101101101, B2=239432550687330
2021-12-14	Oliver Kruse	NF-PM1	B1=1000000000, B2=276529213680720
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=77502269044200
2020-04-17	Oliver Kruse	C-PRP	M4217/2184407/1398424673/2025810565315168189476599/100426239504318810301902696360132081572791 : D2FB04379CAF0E8B PRP: Verified PRP without proof (small exponent)
2018-05-06	ATH	C-PRP	M4217/2184407/1398424673/2025810565315168189476599/100426239504318810301902696360132081572791 : D2FB04379CAF0E8B PRP: Verified PRP without proof (small exponent)
2018-05-06	Oliver Kruse	C-PRP	M4217/2184407/1398424673/2025810565315168189476599/100426239504318810301902696360132081572791 : D2FB04379CAF0E8B PRP: Verified PRP without proof (small exponent)
2018-05-05	BloodIce	C-PRP	M4217/known_factors : FA4FD68FA8CEAA12 PRP: Verified PRP without proof (not generated)
2018-05-04	BloodIce	F-ECM	Factor: 100426239504318810301902696360132081572791
2017-12-07	ATH	C-PRP	M4217/2184407/1398424673/2025810565315168189476599 : E5D9C6FED77FD1AA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4217/2184407/1398424673/2025810565315168189476599 : E5D9C6FED77FD1AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4217/known_factors : E5D9C6FED77FD1AA PRP without proof (not generated)