Accidentally factored

Gordon · 2015-11-22, 15:59

While running a fresh set of curves through gmp-ecm, I set the haswell to running ecm (advanced, ecm) on an exponent in the 250k range, I meant to type in 255251, instead I mis-typed 255521.

Found 3 factors

127

1615926072477214583301236874001 - 100.35 bits

113251268558694037995013049810661462891857455223 - 156.30 bits

Stargate38 · 2015-11-22, 16:17

1615926072477214583301236874001=127*2423*8863*15193*35449*730753*1505447
113251268558694037995013049810661462891857455223=127*2423*8863*15193*35449*730753*1505447*70084436712553223

Some of those prime factors come from algebraic factors (M7, M173, M211, M1211, M1477, and M36503).

2015-11-22, 15:59	#1
Gordon Nov 2008 509 Posts	Accidentally factored While running a fresh set of curves through gmp-ecm, I set the haswell to running ecm (advanced, ecm) on an exponent in the 250k range, I meant to type in 255251, instead I mis-typed 255521. Found 3 factors 127 1615926072477214583301236874001 - 100.35 bits 113251268558694037995013049810661462891857455223 - 156.30 bits

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2015-11-22, 16:17	#2
Stargate38 "Daniel Jackson" May 2011 14285714285714285714 1364₈ Posts	1615926072477214583301236874001=1272423886315193354497307531505447 113251268558694037995013049810661462891857455223=1272423886315193354497307531505447*70084436712553223 Some of those prime factors come from algebraic factors (M7, M173, M211, M1211, M1477, and M36503).