The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A308022 a(n) = prevprime(2*n-1) - nextprime(n-1), where prevprime = A151799 and nextprime = A151800. 0
 0, 0, 0, 2, 0, 4, 2, 2, 6, 8, 6, 10, 6, 6, 12, 14, 12, 12, 14, 14, 18, 20, 14, 18, 18, 18, 24, 24, 22, 28, 24, 24, 24, 30, 30, 34, 32, 32, 32, 38, 36, 40, 36, 36, 42, 42, 36, 36, 44, 44, 48, 50, 44, 48, 50, 50, 54, 54, 52, 52, 46, 46, 46, 60, 60, 64, 60, 60 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,4 COMMENTS a(n) is the difference of the largest and smallest prime(s) in the closed interval [n, 2n-2]. Also, the maximum distance between all pairs of primes (not necessarily distinct) appearing among the largest parts of the partitions of 2n into two parts < 2n-1. LINKS FORMULA a(n) = A151799(2*n-1) - A151800(n-1). EXAMPLE a(10) = 6; The primes in the closed interval [10, 18] are 11, 13 and 17. The difference of the largest and smallest primes is 17 - 11 = 6. MATHEMATICA Table[NextPrime[2 n - 1, -1] - NextPrime[n - 1, 1], {n, 2, 100}] CROSSREFS Cf. A151799, A151800. Sequence in context: A271230 A112824 A195133 * A001100 A218831 A242595 Adjacent sequences:  A308019 A308020 A308021 * A308023 A308024 A308025 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, May 09 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 23 14:34 EST 2022. Contains 350512 sequences. (Running on oeis4.)