A144565 a(n) is the smallest composite number > a(n-1) that contains the n-th prime as a substring.

12, 30, 35, 57, 110, 130, 170, 190, 230, 290, 310, 370, 410, 430, 447, 453, 459, 561, 567, 671, 730, 779, 783, 789, 897, 1010, 1030, 1070, 1090, 1113, 1127, 1131, 1137, 1139, 1149, 1510, 1570, 1630, 1670, 1730, 1790, 1810, 1910, 1930, 1970, 1990, 2110

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Formula

a(n) <= 10*n. [Reinhard Zumkeller, May 16 2010]

Example

S = 12,30,35,57,110,130,170,190,230,290,310,370,410,430,447,...
p = .2.3...5..7.11..13..17..19..23..29..31..37..41..43...47...

Crossrefs

Cf. A169798.

Cf. A177981, A177982. [Reinhard Zumkeller, May 16 2010]

Sequence in context: A335149 A050689 A365041 * A334587 A329947 A115912

Adjacent sequences: A144562 A144563 A144564 * A144566 A144567 A144568

Keyword

nonn,base

Author

Eric Angelini, May 01 2010

Extensions

Typo in example corrected by D. S. McNeil, May 16 2010

Corrected and extended by D. S. McNeil and Reinhard Zumkeller, May 16 2010

Status

approved