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Search: id:A107812
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| A107812 |
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a(1)=prime(12), for n>=2 a(n) = smallest prime not previously used which contains a digit from a(n-1). |
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+0
15
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| 37, 3, 13, 11, 17, 7, 47, 41, 19, 29, 2, 23, 31, 43, 53, 5, 59, 79, 67, 61, 71, 73, 83, 89, 97, 107, 101, 103, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Other cases of seed: A107801 a(1)=2, A107802 a(1)=3, A107803 a(1)=5, A107804 a(1)=7, A107805 a(1)=11, A107806 a(1)=13, A107807 a(1)=17, A107808 a(1)=19, A107809 a(1)=23, A107810 a(1)=29, A107811 a(1)=31, A107813 a(1)=41, A107814 a(1)=43
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MATHEMATICA
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p=Prime[12]; b={p}; d=p; Do[Do[r=Prime[c]; If[FreeQ[b, r]&&Intersection@@IntegerDigits/@{d, r}=!={}, b=Append[b, r]; d=r; Break[]], {c, 1000}], {k, 60}]; b
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CROSSREFS
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Cf. A107353, A107801, A107802, A107803, A107804, A107805, A107806, A107807, A107808, A107809, A107810, A107811, A107813, A107814.
Sequence in context: A077575 A057639 A051316 this_sequence A068843 A033357 A093860
Adjacent sequences: A107809 A107810 A107811 this_sequence A107813 A107814 A107815
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KEYWORD
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base,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com) and Eric Angelini (eric.angelini(AT)kntv.be), May 24 2005
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