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 A327133 The difference between 10^n and the lesser of the twin primes immediately before. 1
 5, 29, 119, 71, 11, 41, 29, 413, 809, 299, 239, 41, 1511, 29, 2033, 359, 1193, 1073, 1499, 2261, 5003, 2429, 1793, 4331, 833, 5879, 359, 779, 2813, 1061, 2099, 1811, 3281, 5201, 533, 5483, 1679, 1421, 26801, 12089, 2843, 27773, 9641, 10841, 4763, 2129, 1019, 20531, 8519, 14339 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All terms are congruent to 5 (mod 6). Records: 5, 29, 119, 413, 809, 1511, 2033, 2261, 5003, 5879, 26801, ..., 37058441, ... - Robert G. Wilson v, Dec 10 2019 LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..1250 FORMULA a(n) = A011557(n) - A092250(n). EXAMPLE a(1) = 5 because the greatest twin prime pair less than 10 is {5, 7}; a(2) = 29 since the greatest 2-digit twin prime pair is {71, 73}; a(3) = 119 since the greatest 3-digit twin prime pair is {881, 883}; etc. MAPLE f:= proc(n) local w, p, q; w:= 10^n; q:= w; do p:= q; q:= prevprime(p); if p-q = 2 then return w-q fi; od end proc: map(f, [\$1..100]); # Robert Israel, Nov 28 2019 MATHEMATICA p[n_] := Block[{d = PowerMod[10, n, 6]}, 10^n - NestWhile[# -6 &, 10^n -d -1, !PrimeQ[#] || !PrimeQ[# +2] &]]; Array[p, 50] (* updated Nov 29 2019 *) PROG (PARI) prectwin(n)=n++; while(!isprime(2+n=precprime(n-1)), ); n a(n)=10^n - prectwin(10^n) \\ Charles R Greathouse IV, Nov 28 2019 CROSSREFS Cf. A011557, A092250. Sequence in context: A297632 A153077 A000352 * A267921 A241676 A291889 Adjacent sequences: A327130 A327131 A327132 * A327134 A327135 A327136 KEYWORD nonn AUTHOR Robert G. Wilson v, Nov 28 2019 STATUS approved

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Last modified May 26 16:43 EDT 2024. Contains 372840 sequences. (Running on oeis4.)