## What's new

### December 01, 2008

• Appendix 5 : Prime table was updated.

"n-bit prime" and "primes near to 10n" show the first and last ten primes near to these bases.
"primes near to factorial, primorial and compositorial" show the first and last primes.

### October 31, 2008

• Chapter 2 : Squares consisted of 3 different digits
searched for all upto 034, 10^24 and found new sporadic solution,
449499949999999499999952= 2020502050500020505000050500052500000500000025 (October 31, 2008)
208327397238179751383622= 434003044400343443044430000434430333044043044 (October 31, 2008)

### June 17, 2008

• Richard Fischer announced errata of Chapter 11 : Wieferich prime that
a=919 p=9411713 is false
a=819 p=9411713 is o.k.
a=947 p=4204968197 is false
a=974 p=4204968197 is missing
a=115 p=2743780307 is missing
a=148 p=2805469039 is missing
a=297 p=2779225651 is missing
a=413 p=2832308863 is missing
a=723 p=2938943531 is missing
a=799 p=2891032049 is missing
a=832 p=112246723 is double
a=844 p=2816027947 is missing
Thank you very much.

### March 24, 2008

• The search range of a^n=c mod n reached up to 1010 for all data from a=2 to 97.

### March 17, 2008

• The search range of a^n=c mod n reached up to 1010 for a=37 .. 79.

### March 02, 2008

• The search range of a^n=c mod n reached up to 1010 for a=2 .. 31.

### February 06, 07, 2008

• English version for all chapters' front pages were uploaded.

### December 10, 2007

• Chapter 4 solutions for n=x3+y3+z3 where n=156, 318, 366, 420, 564, 758, 789, 894, 933, 948 were added.

### April 19, 2007

• Chapter 4 Leonid Durman announced the new results for n = x3 + y3 + z3.

### May 17, 2004

• Chapter 2 : Search range for patterns not including zero were extended up to 1025.
(For patterns including zero, up to 1020 were serached.)

### June 22, 2001

• Chapter 6 : Helmut Postl found larger number 10000000525586206 (232 times).

### June 04, 2001

E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima