A135375 Smallest prime made up of strings of all first n digits concatenated in ascending order and sandwiched between two 1's.

101, 10111, 101221, 10001231, 101123441, 1001233451, 1012345661, 101123456671, 101223456781, 1012334567891

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Example

a(6)=1001233451 because the first 6 digits 0,1,2,3.4,5 appear in this order as concatenated strings of 00,1,2,33,4,5 in between the two end 1's ; This prime is the smallest since it is followed by 1011234451,10012334551,10122223451,...

Prog

(Shell) # Run on a list of primes
grep -m1 '^10+1$' primelistgrep -m1 '^10+1+1$' primelist
grep -m1 '^10+1+2+1$' primelist
grep -m1 '^10+1+2+3+1$' primelist
grep -m1 '^10+1+2+3+4+1$' primelist
grep -m1 '^10+1+2+3+4+5+1$' primelist
grep -m1 '^10+1+2+3+4+5+6+1$' primelist
grep -m1 '^10+1+2+3+4+5+6+7+1$' primelist
grep -m1 '^10+1+2+3+4+5+6+7+8+1$' primelist
grep -m1 '^10+1+2+3+4+5+6+7+8+9+1$' primelist

Crossrefs

Sequence in context: A255892 A065074 A113628 * A267622 A172162 A096884

Adjacent sequences: A135372 A135373 A135374 * A135376 A135377 A135378

Keyword

fini,full,nonn,base

Author

Lekraj Beedassy, Dec 09 2007

Extensions

Program from Charles R Greathouse IV, Nov 19 2010.

Status

approved