login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105437 Smallest prime which stays prime when a string of n 1's is prepended to it. 1
2, 3, 3, 7, 3, 83, 31, 7, 3, 29, 3, 53, 23, 439, 23, 53, 31, 71, 31, 79, 89, 233, 7, 3, 227, 487, 281, 31, 7, 227, 47, 439, 29, 47, 349, 491, 43, 31, 23, 7, 919, 701, 229, 283, 281, 59, 223, 2693, 53, 67, 239, 2011, 2113, 467, 41, 601, 587, 311, 337, 2879, 59, 619, 71 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

EXAMPLE

a(3)=7 because it is the first prime before 31,59,61,71,73,97,... all remaining prime when 111 is prepended to each of them.

MATHEMATICA

f[n_] := Block[{k = 1, t = Table[1, {n}]}, While[id = IntegerDigits[ Prime[k]]; id[[1]] == 1 || !PrimeQ[ FromDigits[ Join[t, id]]], k++ ]; Prime[k]]; Table[ f[n], {n, 0, 62}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 09 2005)

CROSSREFS

Cf. A105436, A065584.

Sequence in context: A082910 A023646 A056225 * A168140 A088100 A097359

Adjacent sequences:  A105434 A105435 A105436 * A105438 A105439 A105440

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 08 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 09 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 14 18:09 EST 2012. Contains 205663 sequences.