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Search: id:A076192
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| A076192 |
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n == 1 mod 10 with property that n through n+9 contain no primes. |
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+0
2
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| 201, 321, 511, 531, 621, 841, 891, 1071, 1131, 1141, 1261, 1331, 1341, 1351, 1411, 1461, 1501, 1641, 1671, 1681, 1711, 1761, 1791, 1851, 1891, 1921, 1961, 2041, 2071, 2101, 2181, 2191, 2321, 2361, 2401, 2481, 2491, 2511, 2561, 2581, 2821, 2941, 2981
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Since a decade of consecutive numbers may contain up to 4 primes, more precisely a prime quadruple(p, p+2, p+6, p+8) within a decade k through k+9, where k=p-1 or p (=A007530) excepting the first case (2, 3, 5, 7), this sequence may be regarded as a counterpart to A007530.
Equals A078492(n-1) + 1 - Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 23 2003
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EXAMPLE
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531 is in the sequence because it is the first term of the ten consecutive composites:531 = 3^2*59; 532 = 2^2*7*19; 533 = 13*41; 534 = 2*3*89; 535 = 5*107; 536 = 2^3*67; 537 = 3*179; 538 = 2*269; 539 = 7^2*11; 540 = 2^2*3^3*5.
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CROSSREFS
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Cf. A007530, A076150.
Sequence in context: A027825 A098963 A107843 this_sequence A157956 A061697 A167070
Adjacent sequences: A076189 A076190 A076191 this_sequence A076193 A076194 A076195
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 31 2002
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 04 2002
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