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 A330427 Primes P where the nearest prime is greater than 3*log(P) away. 4
 38501, 58831, 153191, 203713, 206699, 232259, 247141, 250543, 268343, 279269, 286927, 302053, 330509, 362521, 362801, 404597, 413353, 421559, 430193, 438091, 479081, 479701, 485263, 504727, 512207, 515041, 539573, 539993, 546781, 569369, 574859, 590489, 624917 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The author suggests that these numbers be called Triple Frogger Primes because three times the distance as the average distance to the nearest neighbor (the log) has to be hopped. LINKS Robert Israel, Table of n, a(n) for n = 1..1000 MAPLE q:= 3: state:= false: count:= 0: Res:= NULL: while count < 100 do   p:= nextprime(q);   newstate:= is(p-q > 3*log(q));   if state and newstate then     count:= count+1; Res:= Res, q;   fi;   q:= p; state:= newstate; od: Res; # Robert Israel, Dec 18 2019 MATHEMATICA Select[Prime@ Range[10^5], Min@ Abs[# - NextPrime[#, {-1, 1}]] > 3 Log[#] &] (* Michael De Vlieger, Dec 15 2019 *) PROG (MAGMA) f:=func;  [p:p in PrimesUpTo(630000)|f(p)]; // Marius A. Burtea, Dec 18 2019 (PARI) lista(nn) = {my(x=2, y=3); forprime(p=5, nn, if(min(p-y, y-x)>3*log(y), print1(y, ", ")); x=y; y=p); } \\ Jinyuan Wang, Mar 03 2020 CROSSREFS Cf. A288908 (with 1*log(P)), A330426 (with 2*log(P)), A330428 (Lowest Frogger Primes). Sequence in context: A013873 A050766 A250712 * A289824 A321494 A252103 Adjacent sequences:  A330424 A330425 A330426 * A330428 A330429 A330430 KEYWORD nonn AUTHOR Steven M. Altschuld, Dec 14 2019 EXTENSIONS More terms from Michael De Vlieger, Dec 15 2019 STATUS approved

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Last modified May 25 04:56 EDT 2022. Contains 354048 sequences. (Running on oeis4.)