A068847 Smallest prime with same leading digits as 7^n.

11, 71, 491, 3433, 24019, 168071, 11764967, 8235431, 576480103, 403536071, 2824752493, 19773267431, 1384128720101, 9688901040727, 6782230728491, 474756150994337, 3323293056960127, 23263051398720713, 162841359791044903

Offset

0,1

Links

Table of n, a(n) for n=0..18.

Example

a(3)=3433 because this is the smallest prime starting with 7^3=343.

Maple

for i from 0 to 30 do a := nextprime(7^i*10); b := 1; while(a-7^i*10^b>=10^b) do b := b+1; a := nextprime(7^i*10^b); end do; c[i] := a; end do:q := seq(c[i], i=0..30);

Crossrefs

Cf. A068846.

Sequence in context: A300541 A123362 A199488 * A139185 A290123 A103998

Adjacent sequences: A068844 A068845 A068846 * A068848 A068849 A068850

Keyword

nonn,base

Author

Amarnath Murthy, Mar 10 2002

Extensions

More terms from Sascha Kurz, Mar 17 2002

Status

approved