Zero Sink

Sunday, October 31, 2010

New world record near-repdigit palindrome prime

I got a treat for Halloween:

Primality testing 10^(2*62938+1)-7*10^62938-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling Brillhart-Lehmer-Selfridge with factored part 34.95%
10^(2*62938+1)-7*10^62938-1 is prime! (4195.7527s+0.0051s)

(It can also be expressed as 10^125877-7*10^62938-1)

This is the largest known near-repdigit palindrome prime number. Written out, it's a long string of 9's, a 2, and another long string of 9's.

Tuesday, October 26, 2010

Primo certificate for 7*(10^4019-1)/9-10^2009

The near-repdigit palindrome wing prime 7*(10^4019-1)/9-10^2009 has been certified by Primo.
The certificate is here.

Monday, October 18, 2010

Primo certificate for (10^3641-1)/3+2*10^1820

The Primo certificate for (10^3641-1)/3+2*10^1820, listed here as a probable prime, is here.

Sunday, October 17, 2010

Primo Certificate for (10^3693-1)/9+5*10^1846

The near-repdigit palindrome (10^3693-1)/9+5*10^1846, listed
here as a PRP number, is prime. Certificate here.

Thursday, October 14, 2010

Primo Certificate for (10^3595-1)/3+5*10^1797

The near-repdigit palindrome wing prime (10^3595-1)/3+5*10^1797, listed here as a PRP, is certified prime. Certificate here.

Tuesday, October 12, 2010

Primo Certificate for 7*(10^3371-1)/9-10^1685

The near-repdigit palindrome wing prime 7*(10^3371-1)/9-10^1685, listed here as a PRP, is certified prime. Certificate here.

Saturday, October 09, 2010

Primo Certificate for (10^3089-1)/9+3*10^1544

The near-repunit palindrome wing prime (10^3089-1)/9+3*10^1544, listed here as a PRP, is certified prime. Certificate here.

(Written out in base 10, that's 1544 ones, a four, and 1544 more ones.)