Exponents with identical digits

GP2 · 2003-10-04, 00:17

Look for all prime exponents that have long strings of identical digits (all digits but one identical).

Eliminate those that have been factored or verified composite. What's left?

DoubleCheck=11111119,64,1
Test=55555553,64,0
DoubleCheck=59999999,71,1
Test=71111111,64,0

Edit: formerly was:
Test=55555553,58,0
Test=71111111,60,0

Edited as per following post.

hbock · 2003-10-10, 21:02

M55555553 no factor to 2^64, WZ1: 154A71BC
M71111111 no factor to 2^64, WZ1: AA89D93C

see new nofactor file

jasong · 2007-11-19, 19:03

I know this is an old thread, but what about patterns where the digit that's different isn't on the end of the exponent?

2003-10-04, 00:17	#1
GP2 Sep 2003 A1A₁₆ Posts	Exponents with identical digits Look for all prime exponents that have long strings of identical digits (all digits but one identical). Eliminate those that have been factored or verified composite. What's left? DoubleCheck=11111119,64,1 Test=55555553,64,0 DoubleCheck=59999999,71,1 Test=71111111,64,0 Edit: formerly was: Test=55555553,58,0 Test=71111111,60,0 Edited as per following post. Last fiddled with by GP2 on 2003-10-10 at 21:32

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2003-10-10, 21:02	#2
hbock Feb 2003 163 Posts	M55555553 no factor to 2^64, WZ1: 154A71BC M71111111 no factor to 2^64, WZ1: AA89D93C see new nofactor file

2007-11-19, 19:03	#3
jasong "Jason Goatcher" Mar 2005 110110110011₂ Posts	I know this is an old thread, but what about patterns where the digit that's different isn't on the end of the exponent?