A152242 -id:A152242 - cp's OEIS frontend

A167458 Indices of numbers in A167459 which are not in A066737.

24, 25, 26, 27, 53, 54, 55, 88, 89, 90, 124, 125, 126, 127, 181, 182, 183, 215, 216, 268, 269, 270, 271, 303, 304, 305, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364

Offset: 1

M. F. Hasler, Nov 19 2009

Also, indices of terms in A167459 which are in A166505 (or: which are not in A152242).

Cf. A166504, A152242.

c=0; for(n=1,9999, is_A167459(n) & c++ & !is_A152242(n) & print1(c", "))

A166498 Integers formed by concatenating squares.

Original entry on oeis.org

0, 1, 4, 9, 10, 11, 14, 16, 19, 25, 36, 40, 41, 44, 49, 64, 81, 90, 91, 94, 99, 100, 101, 104, 109, 110, 111, 114, 116, 119, 121, 125, 136, 140, 141, 144, 149, 160, 161, 164, 169, 181, 190, 191, 194, 196, 199, 225, 250, 251, 254, 256, 259, 289, 324, 360, 361

Offset: 1

Zak Seidov, Oct 15 2009

			11 being the concatenation of 1 and 1, both squares, is in the sequence.
120 is not in the sequence as none of 2, 12, 20 and 120 are squares. - corrected by _Peter Munn_, Nov 17 2017

Cf. A000290 (squares), A152242 (integers formed by concatenating primes).

Take[FromDigits[Flatten[IntegerDigits/@#]]&/@Tuples[Range[0,20]^2,3]//Union,60] (* Harvey P. Dale, May 25 2025 *)

Corrected and extended by Michel Marcus, Oct 16 2013

Mispositioning of example corrected by Peter Munn, Nov 17 2017

A369331 Positive numbers whose decimal expansions are covered by that of prime numbers (without leading zeros).

Original entry on oeis.org

2, 3, 5, 7, 11, 13, 17, 19, 22, 23, 25, 27, 29, 31, 32, 33, 35, 37, 41, 43, 47, 52, 53, 55, 57, 59, 61, 67, 71, 72, 73, 75, 77, 79, 83, 89, 97, 101, 103, 107, 109, 111, 112, 113, 115, 117, 119, 127, 131, 132, 133, 135, 137, 139, 149, 151, 157, 163, 167, 171

Offset: 1

Rémy Sigrist, Jan 20 2024

More formally: positive numbers with decimal expansion (d_1, ..., d_w) (where d_1 <> 0) such that for any i in 1..w, we have some j, k such that j <= i <= k and d_j <> 0 and (d_j, ..., d_k) corresponds to the decimal expansion of a prime number.
This sequence contains, among others, A000040, A046034 and A152242.
This sequence first differs from A152242 for n = 42: a(42) = 111 whereas A152242(42) = 112.

			The number 15195 belongs to the sequence for the following covering:
       151
         19
           5
       .....
       15195

Index entries for sequences related to decimal expansion of n

Cf. A000040, A046034, A152242.

is(n, base = 10) = { my (d = if (n, digits(n, base), [0]), ok = vector(#d), rem = #d); for (i = 1, #d, if (d[i], for (j = i, #d, if  (isprime( fromdigits( d[i..j], base)), for (k = i, j, if (ok[k]==0, ok[k]++; rem--; if (rem==0, return (1)))))))); return (0); }

cp's OEIS Frontend

A167458 Indices of numbers in A167459 which are not in A066737.

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A166498 Integers formed by concatenating squares.

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Mathematica

Extensions

A369331 Positive numbers whose decimal expansions are covered by that of prime numbers (without leading zeros).

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PARI