login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A031132 Record differences between n-th prime and (n+2)-nd prime. 9
3, 4, 6, 10, 12, 14, 18, 24, 28, 40, 42, 44, 48, 50, 56, 58, 72, 76, 80, 82, 100, 114, 116, 126, 138, 140, 160, 190, 200, 234, 236, 246, 248, 270, 306, 328, 330, 336, 340, 372, 376, 410, 436, 438, 450, 476, 502, 506, 524, 540, 546, 594, 600, 624, 678, 690, 700, 760, 780, 838, 900, 944, 972, 1014, 1016, 1032, 1152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..67.

FORMULA

a(n) = A031134(n) - A031133(n). - Robert G. Wilson v

EXAMPLE

The difference a(49) = 524 first occurs at prime(2158173265) - prime(2158173263) = 50949283633 - 50949283109 = 524. - Jon E. Schoenfield, Aug 29 2006

MATHEMATICA

d = 0; lst = {}; {p, q, r} = {1, 2, 3}; Do[{p, q, r} = {q, r, Prime@n}; If[r - p > d, d = r - p; AppendTo[lst, {p, r}]; Print[{p, r-p, r}]], {n, 212550893}]; Last /@ lst - First /@ lst (* Robert G. Wilson v, May 17 2006 *)

dist = 0; n = 0; While[n<250000000, n++; tmp = Prime[n + 2] - Prime[n]; If[tmp > dist, dist = tmp; Print[tmp]]; ]; (* Sam Handler (sam_5_5_5_0(AT)yahoo.com), Aug 08 2006 *)

CROSSREFS

Cf. A031131, A031132, A031133, A031134, A122412, A122413.

See A031133 for lower primes and A031134 for upper primes.

Sequence in context: A137951 A082694 A004793 * A322165 A057477 A249666

Adjacent sequences:  A031129 A031130 A031131 * A031133 A031134 A031135

KEYWORD

nonn

AUTHOR

Jeff Burch

EXTENSIONS

Extended (and first term added) by Patrick De Geest, Oct 2000

Further extended by Jud McCranie, Jan 03 2001 and again on May 18 2006

a(50)-a(52) from Jon E. Schoenfield, Sep 02 2006

a(53)-a(55) from Dmitry Kamenetsky, Jul 28 2008

a(55) corrected, a(56)-a(62) added by Dmitry Petukhov, Sep 22 2015

a(63)-a(67) added by Vladimir Chirkov and Natalia Makarova, Sep 24 2015, Sep 29 2015

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 26 17:17 EDT 2019. Contains 323597 sequences. (Running on oeis4.)