109 541 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
876329	6	19.7	old
11131767615049	14	43.3	2008-07-26 09:17:10
121944962706692772233	21	66.7	2010-03-07 15:36:59
1152699126452572992607	22	70.0	2010-03-14 18:48:27
28137459914072228097196337	26	84.5	2010-06-01 19:19:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	734 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	F0E8429B8EC21CB7	5	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	F0E8429B8EC21CB7	5	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	F0E8429B8EC21CB7	5	88810	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AA66E60BBC7F0D3F	5	97861	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	AA66E60BBC7F0D3F	5	15966	5	3
Verified	Certified Good	2022-11-11	LordJulius	AA66E60BBC7F0D3F	5	41614	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=894943000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2384204282460
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : AA66E60BBC7F0D3F Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : AA66E60BBC7F0D3F Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : AA66E60BBC7F0D3F
2017-10-13	kkmrkkblmbrbk	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : F0E8429B8EC21CB7
2017-10-09	Chang Chia-Tche	C-PRP	M109541/known_factors : F0E8429B8EC21CB7
2017-09-21	Oliver Kruse	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : F0E8429B8EC21CB7
2017-09-21	Oliver Kruse	C-PRP	M109541/876329/11131767615049/121944962706692772233/1152699126452572992607/28137459914072228097196337 : F0E8429B8EC21CB7
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-06-01	Rob_Dee	F-ECM	Factor: 28137459914072228097196337
2010-03-14	Rob_Dee	F-ECM	Factor: 1152699126452572992607
2010-03-07	Rob_Dee	F-ECM	Factor: 121944962706692772233
2008-07-26	J Feitsma	F	Factor: 11131767615049

Username
Password