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A361823
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a(1) = 3; thereafter, a(n+1) is the smallest prime p such that p - prevprime(p) >= a(n) - prevprime(a(n)).
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1
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3, 5, 7, 11, 17, 23, 29, 37, 53, 59, 67, 79, 89, 97, 127, 307, 331, 541, 907, 1151, 1361, 8501, 9587, 12889, 14143, 15727, 19661, 25523, 31469, 156007, 338119, 360749, 370373, 492227, 1349651, 1357333, 1562051, 2010881, 4652507, 11114087, 15204131, 17051887
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OFFSET
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1,1
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COMMENTS
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a(n) is the leading prime in the (n+1)-th prime sublist defined in A348178.
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LINKS
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FORMULA
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PROG
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(Python)
from sympy import nextprime; q = 2; g = 0
while q < 20000000:
p = nextprime(q); d = p - q
if d >= g: print(p, end = ', '); g = d
q = p
(PARI) a361823(upto) = {my(pp=2, gap=1); forprime (p=3, upto, my(g=p-pp); if(g>=gap, print1(p, ", "); gap=g); pp=p)};
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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