

A114009


Regular triangle where nth row is composed of n primes beginning with prime(n).


1



2, 3, 31, 5, 53, 59, 7, 71, 73, 79, 11, 113, 1103, 1109, 1117, 13, 131, 137, 139, 1301, 1303, 17, 173, 179, 1709, 1721, 1723, 1733, 19, 191, 193, 197, 199, 1901, 1907, 1913, 23, 233, 239, 2309, 2311, 2333, 2339, 2341, 2347, 29, 293, 2903, 2909, 2917, 2927
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..51.


EXAMPLE

One prime beginning with 2, followed by the two primes 3, 31 beginning with 3.


MATHEMATICA

f[n_] := Block[{c = 0, t = {}, p = Prime[n]}, k = PrimePi[p]; lng = Ceiling[Log[10, p]]; While[c < n, q = Prime[k]; If[p == FromDigits@Take[IntegerDigits@q, lng], c++; AppendTo[t, q]]; k++ ]; t]; Array[f, 10] // Flatten (* Robert G. Wilson v *)


CROSSREFS

Cf. A000040 (first column).
Sequence in context: A048986 A093712 A035514 * A143665 A074479 A272043
Adjacent sequences: A114006 A114007 A114008 * A114010 A114011 A114012


KEYWORD

base,nonn,tabl


AUTHOR

Amarnath Murthy, Nov 12 2005


EXTENSIONS

More terms from Robert G. Wilson v, Nov 17 2005
Name clarified Michel Marcus, Sep 16 2013


STATUS

approved



