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A028888 Smaller of two successive primes with a palindromic product. 3

%I #27 Feb 07 2021 14:57:28

%S 2,7,17,191,1051,1934063

%N Smaller of two successive primes with a palindromic product.

%C No further terms less than 1.38 * 10^10. - _Michael S. Branicky_, Feb 07 2021

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/sequenc.htm">More palindromic products of integer sequences</a>

%e 17 is in the sequence because 17 * 19 = 323.

%e 19 is not in the sequence because 19 * 23 = 437.

%t p = 2; t = {}; Do[q = NextPrime[p]; If[Reverse[x = IntegerDigits[p * q]] == x, AppendTo[t, p]]; p = q, {n, 150000}]; t (* _Jayanta Basu_, Jun 05 2013 *)

%t Prime[#]&/@Flatten[Position[Times@@@Partition[Prime[Range[1934100]], 2, 1], _?(PalindromeQ[#] &)]] (* _Harvey P. Dale_, May 14 2019 *)

%o (Python)

%o from sympy import nextprime

%o def ispal(n): s = str(n); return s == s[::-1]

%o p, q = 2, 3

%o while True:

%o if ispal(p*q): print(p)

%o p, q = q, nextprime(q) # _Michael S. Branicky_, Feb 07 2021

%Y Cf. A028978, A028979.

%K nonn,base,more

%O 1,1

%A _Patrick De Geest_

%E Edited by _N. J. A. Sloane_, May 04 2007

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Last modified April 24 15:52 EDT 2024. Contains 371961 sequences. (Running on oeis4.)