A105268 Primes which are 1 + strobogrammatic numbers A000787(n): the same upside down.

2, 89, 97, 809, 907, 8009, 8699, 9697, 9887, 81119, 98887, 8000009, 9888887, 81111119, 8111111119, 8666699999, 9888888887, 8000000000009, 9888888888887, 98888888888888887, 81111111111111111119, 800000000000000000009

Offset

1,1

Comments

Primes which, upon subtracting one, give numbers which read the same upside-down. Not to be confused with strobogrammatic primes A007597 such as 181 or 619. Also, 263 is the largest known prime whose square is strobogrammatic. Not to be confused with strobogrammatic squares A018848 such as 109181601. After a(7) this sequence is exemplary, not complete (i.e. missing some values).

Links

Table of n, a(n) for n=1..22.

Formula

{A000787(n)+1} intersect {A000040}.

Example

9887 is prime, 9887 = 9886+1 and 9886 turned upside-down is 9886 again.

Crossrefs

Cf. A000040, A000787, A007597, A018847, A018848.

Sequence in context: A012733 A058459 A355272 * A139881 A161676 A235467

Adjacent sequences: A105265 A105266 A105267 * A105269 A105270 A105271

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Apr 16 2005

Extensions

Term a(17) reordered by Georg Fischer, Mar 20 2022

Status

approved