A068848 Smallest prime with same leading digits as 8^n.

11, 83, 641, 51203, 40961, 327689, 2621447, 20971529, 167772161, 1342177283, 10737418247, 85899345923, 687194767367, 54975581388811, 43980465111043, 3518437208883211, 28147497671065609, 22517998136852483

Offset

0,1

Links

Table of n, a(n) for n=0..17.

Example

a(3)=51203 because this is the smallest prime starting with 8^3=512.

Maple

for i from 1 to 40 do a := nextprime(8^i*10); b := 1; while(a-8^i*10^b>=10^b) do b := b+1; a := nextprime(8^i*10^b); end do; c[i] := a; end do:q := seq(c[i], i=1..40);

Crossrefs

Cf. A068846, A068847.

Sequence in context: A294831 A055369 A016282 * A167577 A129077 A152582

Adjacent sequences: A068845 A068846 A068847 * A068849 A068850 A068851

Keyword

nonn,base

Author

Amarnath Murthy, Mar 10 2002

Extensions

More terms from Sascha Kurz and Benoit Cloitre, Mar 17 2002

Status

approved