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A131194 Slowest increasing sequence of primes such that two neighbor terms share at least three digits (counted with multiplicity). +0
1
101, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1069, 1091, 1093, 1097, 1109, 1129, 1193, 1213, 1217, 1231, 1237, 1277, 1279, 1289, 1291, 1297, 1327, 1367, 1373, 1433, 1439, 1453, 1459, 1489, 1493, 1499, 1549, 1559, 1579, 1597, 1657, 1667, 1669, 1693 (list; graph; listen)
OFFSET

1,1

COMMENT

Sequences for other seeds (they are shortened when they converge with the first sequenc):

{101,1013,1019,1021,1031,1033,1039,1049,1069,1091,1093,1097,1109,1129,1193,1213,1217,1231,1237,1277,1279,1289,1291,1297,1327,1367,1373,1433,1439,1453,1459,1489,1493,1499,1549,1559,1579},

{103,1013},

{107,701,1087,1097,1109,1129,1193},

{109,1009,1019},

{113,131,311,1013,1019},

{127,271,1217},

{131,311,1013,1019},

{137,173,317,1237},

{139,193,1039},

{149,419,491,941,1049},

{151,1051,1061,1063,1069},

{157,571,751,1567,1571,1579},

{163,613,631,1063,1069},

{167,617,761,1367},

{173,317,1237}.

Conjecture: for any initial seed, sequence eventually merges with the first one.

CROSSREFS

Cf. A133835.

Sequence in context: A115826 A115775 A115800 this_sequence A124015 A099182 A048177

Adjacent sequences: A131191 A131192 A131193 this_sequence A131195 A131196 A131197

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 26 2007

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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