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A096473 Palindromic good primes. 2
5, 11, 101, 191, 727, 929, 30803, 74047, 77477, 1123211, 1150511, 1338331, 1444441, 1684861, 1761671, 3065603, 3392933, 3503053, 3541453, 9779779, 9845489, 9926299, 9927299, 9932399, 112959211, 113030311, 114535411, 119676911 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

p is in the sequence iff p is in the sequences A028388 and A002385.

Thus, version 2 (A028388) of the definition of "good primes" is used here.  [From Harvey P. Dale, May 13 2012]

LINKS

Table of n, a(n) for n=1..28.

Eric Weisstein's World of Mathematics, Good Prime

C. Rivera, Consecutive 'good' primes

EXAMPLE

11 is in the sequence because 11 is a palindromic number which is

a good prime(11^2>7*13, 11^2>5*17, 11^2>3*19 & 11^2>2*23).

MATHEMATICA

b[n_]:=(For[m=1, m<n&&Prime[n]^2>Prime[n-m]Prime[n+m], m++ ]; m); v={}; Do[If[IntegerDigits[Prime[n]]==Reverse[IntegerDigits[Prime [n]]]&& b[n]==n, v=Append[v, Prime[n]]; Print[v]], {n, 6986301}]

CROSSREFS

Cf. A028388, A002385.

Sequence in context: A066596 A199325 A199305 * A007530 A157967 A088268

Adjacent sequences:  A096470 A096471 A096472 * A096474 A096475 A096476

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht, Jun 28 2004

STATUS

approved

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Last modified November 14 15:22 EST 2019. Contains 329126 sequences. (Running on oeis4.)