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 A052381 The smallest initial prime of 2 non-overlapping d-twin primes if the distance between pairs (D) is minimal (see A052380). 12
 3, 7, 47, 389, 409, 199, 24749, 3373, 20183, 46703, 19687, 16763, 142811, 14563, 69593, 763271, 276637, 255767, 363989, 383179, 247099, 2130809, 15370423, 3565931, 458069, 9401647, 6314393, 20823437, 9182389, 4911251, 15442121 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A prime quadruple (triple), {[p,p+d],[p+D,p+D+d]} is called a "non-overlapping" (disjoint or touching) pair of twins if D = distance >= d = difference "inside" twin. LINKS FORMULA Smallest p so that [p, p+2n], [p+min{D}, p+2n+min{D}] is a quadruple (or triple if d=min{D}) of consecutive primes. EXAMPLE If n=23, d=46, min{D}=48 then the first suitable quadruple of primes is [15370423, 15370469, 15370471, 15370517] with difference pattern [46, 2, 46]; if n=3, d=6, min{D}=6 then the first such triple is [47, 53, 53, 59] = [47, 53, 59] with difference pattern [6, 6]. CROSSREFS The first 10 terms here appear as initial terms in A052350-A052359. See also A052380, A031924-A031928, A053318-A053331, A052350-A052359, A047948, A001223. Sequence in context: A318087 A005650 A020754 * A219877 A031440 A001566 Adjacent sequences:  A052378 A052379 A052380 * A052382 A052383 A052384 KEYWORD nonn AUTHOR Labos Elemer, Mar 13 2000 EXTENSIONS Corrected by Jud McCranie, Jan 04 2001 STATUS approved

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Last modified December 6 04:14 EST 2019. Contains 329784 sequences. (Running on oeis4.)