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 A135170 Primes equal to a sum c1+c2 of two consecutive composite numbers such that lpf(c1)-spf(c1)+lpf(c2)-spf(c2) from their largest and smallest prime factors is prime. 3
 19, 29, 31, 41, 43, 53, 67, 71, 79, 89, 101, 109, 131, 149, 151, 173, 197, 199, 233, 239, 241, 251, 269, 271, 283, 307, 311, 317, 331, 337, 349, 367, 401, 419, 439, 449, 461, 487, 491, 499, 509, 521, 593, 599, 617, 641, 647, 683, 691, 727, 739, 751, 769, 809 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA {A060254(j): A002808(i)+A002808(i+1)=A060254(j) and A111426(i)+A111426(i+1) in A000040}. Subsequence of A060254. - R. J. Mathar, Feb 19 2008 MAPLE A002808 := proc(n) option remember ; local a ; if n = 1 then 4; else for a from A002808(n-1)+1 do if not isprime(a) then RETURN(a) ; fi ; od: fi ; end: isA060254 := proc(n) local i, sComp ; if isprime(n) then for i from 1 do sComp := A002808(i)+A002808(i+1) ; if sComp = n then RETURN(i); elif sComp > n then RETURN(-1) ; fi ; od: else -1 ; fi ; end: A046665 := proc(n) local a, ifs ; a := 0 ; ifs := seq(op(1, i), i=ifactors(n)[2]) ; max(ifs)-min(ifs) ; end: A111426 := proc(n) A046665(A002808(n)) ; end: isA135170 := proc(p) local i ; i := isA060254(p) ; if i > 0 then A111426(i) + A111426(i+1) ; isprime(%) ; else false ; fi ; end: for n from 1 to 300 do p := ithprime(n) ; if isA135170(p) then printf("%d, ", p) ; fi ; od: # R. J. Mathar, Feb 19 2008 CROSSREFS Cf. A111426. Sequence in context: A254330 A052260 A067833 * A173959 A139539 A191047 Adjacent sequences:  A135167 A135168 A135169 * A135171 A135172 A135173 KEYWORD nonn AUTHOR Giovanni Teofilatto, Feb 14 2008 EXTENSIONS Corrected and extended by R. J. Mathar, Feb 19 2008 More precise definition by R. J. Mathar, Sep 17 2009 STATUS approved

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Last modified December 7 20:29 EST 2019. Contains 329849 sequences. (Running on oeis4.)