[ January 10, 2005 ]
Nearest (probable) primes bordering powers of ten
situated at equal distances
1017 ± 3
1045 ± 9
103175 ± 13431
Only three pairs are known so far and all have palindromic
displacements. (despite the first two being a bit trivial)
Can you discover the fourth pair ?
Note that between the minus and plus values
a prime gap must exist obligatory.
Powers of Ten in the real world
from the macro- to the micro-universe
Cosmic View, the Universe in 40 Jumps
Coincidences around palindrome 13431
13431 can be expressed as the product
of two consecutive palindromes (111 * 121)
13431 is a palindrome n such that 10n01 is a prime. (A099744)
Jason Earls submitted to the PRP Record site these curious numbers:
( beware however that they are not borderprp's ! )
1016989 + 1777771
1018510 + 1777771
1025173 + 1777771
Note that 1777771 is a PDP or a Plateau Prime.
Can you extend the list and/or find prp's of the form 10x 1777771 ?