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A133783
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Primes containing only digits from set (1,2,3,4,5,6).
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1
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2, 3, 5, 11, 13, 23, 31, 41, 43, 53, 61, 113, 131, 151, 163, 211, 223, 233, 241, 251, 263, 311, 313, 331, 353, 421, 431, 433, 443, 461, 463, 521, 523, 541, 563, 613, 631, 641, 643, 653, 661, 1123, 1151, 1153, 1163, 1213, 1223, 1231, 1321, 1361, 1423, 1433
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 0-free subset of A036960. "Dice Primes": the ordered sequence of prime numbers whose digits can be generated by successively throwing a regular dice with the numbers 1,2,...,6. There are n^6 elements of A057436 with n digits. Restricting to primes, we have 3 with 1 digit, 8 with 2 digits, 23 with 3 digits.
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FORMULA
| A000040 INTERSECTION A057436. A052382 INTERSECTION A036960.
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MATHEMATICA
| Select[Prime[Range[250]], Length[Intersection[IntegerDigits[ # ], {7, 8, 9, 0}]] == 0 &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 03 2008
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CROSSREFS
| Cf. A000040, A036960, A052382, A057436.
Sequence in context: A128425 A175565 A036960 * A036958 A178317 A032024
Adjacent sequences: A133780 A133781 A133782 * A133784 A133785 A133786
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KEYWORD
| base,easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 02 2008
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 03 2008
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