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A068575
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Numbers n such that, as strings, n is a substring of prime(n).
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2
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7, 6455, 6456, 6457, 6459, 6460, 6466, 9551, 303027, 440999, 968819, 5517973, 27737957, 93230839, 96664044, 46492090901
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| pi(2*10^12) < a(17) <= 426836115943. a(18) <= 732382677641. a(19) <= 4895576080181. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), May 08 2010]
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EXAMPLE
| Treated as strings, 6455 is a substring of 64553 = Prime(6455), so 6455 belongs to the sequence.
Pairs {n, prime(n)}: {7, 17}, {6455, 64553}, {6456, 64567}, {6457, 64577}, {6459, 64591}, {6460, 64601}, {6466, 64661}, {9551, 99551}, {303027, 4303027}, {440999, 6440999}, {968819, 14968819}, {5517973, 95517973}.
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MATHEMATICA
| Select[Range[10^6], StringPosition[ToString[Prime[ # ]], ToString[ # ]] != {} &]
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CROSSREFS
| Cf. A067248, A046883, A075902.
Sequence in context: A203693 A125036 A098803 * A158400 A119528 A116266
Adjacent sequences: A068572 A068573 A068574 * A068576 A068577 A068578
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KEYWORD
| base,nonn
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AUTHOR
| Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Mar 26 2002
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EXTENSIONS
| More terms from Zak Seidov (zakseidov(AT)yahoo.com), Sep 27 2002
Three more terms from Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 06 2007
a(16) from Donovan Johnson (donovan.johnson(AT)yahoo.com), May 08 2010
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