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A083359
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Visible Factor Numbers, or VPNs: numbers n with the property that every prime factor of n can be found in the decimal expansion of n and every digit of n can be found in a prime factor. No additional 0's and 1's are allowed.
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5
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735, 3792, 13377, 21372, 51375, 119911, 229912, 290912, 537975, 1341275, 1713192, 2333772, 2971137, 4773132, 7747292, 13115375, 13731373, 19853575, 22940075, 29090912, 29373375, 31373137, 35322592, 52979375, 71624133, 79241575
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Larger terms can be found with the factorization of 10^m+1. A prime p containing all the prime factors of 10^m+1 will give the VFN (pp), for example 13731373 = 73*137*1373 with 73*137 = 10001. Every prime 9090...9091 builds a VFN with the cofactor 2^5.
Sequence is probably infinite.
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REFERENCES
| An article by Mr. Lindon, published in an early issue of Journal of Recreational Mathematics.
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LINKS
| Sven Simon, Table of n, a(n) for n = 1..63
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CROSSREFS
| Cf. A083360, A083361.
Sequence in context: A126556 A174456 A096595 * A083360 A121342 A067866
Adjacent sequences: A083356 A083357 A083358 * A083360 A083361 A083362
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KEYWORD
| nonn,base
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AUTHOR
| Sven Simon (sven-h.simon(AT)t-online.de), Apr 27 2003
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