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 A052042 Primes that lack the digit zero in the decimal expansion of their squares. 12
 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 59, 61, 67, 73, 79, 83, 89, 107, 109, 113, 127, 131, 137, 139, 157, 163, 167, 173, 181, 191, 193, 211, 223, 227, 229, 233, 239, 263, 269, 271, 277, 281, 293, 307, 311, 313, 337, 359, 367, 373, 379, 383, 389, 409, 419, 421, 431 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Zak Seidov, Table of n, a(n) for n = 1..10000 FORMULA a(n) = sqrt(A052043(n)). - Zak Seidov, Dec 27 2014 EXAMPLE The primes 47, 53 and 71 are not in the sequence because 47^2=2209, 53^2=2809 and 71^2=5041 contain zeros in their decimal representation. MATHEMATICA fQ[n_] := DigitCount[n^2][[-1]] == 0; Select[Prime@ Range@ 80, fQ] (* Robert G. Wilson v, Aug 22 2012 *) PROG (PARI) {p=2; for(k=1, 10^2, if(vecmin(digits(p^2))>0, print1(p", ")); p=nextprime(1+p))}\\ Zak Seidov, Dec 24 2014 CROSSREFS Squares: A052043, A052040, A052041. Cubes: A051750, A051751, A051832, A051833. Cf. A245576. Sequence in context: A154363 A049555 A281295 * A245576 A086472 A219669 Adjacent sequences:  A052039 A052040 A052041 * A052043 A052044 A052045 KEYWORD nonn,base AUTHOR Patrick De Geest, Dec 15 1999 STATUS approved

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Last modified June 24 04:50 EDT 2021. Contains 345416 sequences. (Running on oeis4.)