The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A079011

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A079011

Least prime p introducing prime-difference pattern {d, 2*d}, where d = 2*n, i.e., {p, p+2*n, p+2*n+4*n} = {p, p+2*n, p+6*n} are consecutive primes.
(history; published version)

#16 by Susanna Cuyler at Thu Feb 11 23:01:07 EST 2021

STATUS

reviewed

approved

#15 by Joerg Arndt at Wed Feb 10 05:34:40 EST 2021

STATUS

proposed

reviewed

#14 by Jinyuan Wang at Wed Feb 10 04:17:11 EST 2021

STATUS

editing

proposed

#13 by Jinyuan Wang at Wed Feb 10 04:16:50 EST 2021

MATHEMATICA

d[x_] := Prime[x+1]-Prime[x] ; t=Table[0, {70}]; Do[s=d[n]/2; If[(d[n+1]==24*s)&&(s<31)&&(t[[s]]==0), t[[s]]=Prime[n]], {n, 2, 100000}]; t

STATUS

proposed

editing

#12 by Jinyuan Wang at Wed Feb 10 03:59:05 EST 2021

STATUS

editing

proposed

#11 by Jinyuan Wang at Wed Feb 10 03:58:47 EST 2021

NAME

a(n) = p is the least Least prime p introducing prime-difference pattern {d,2d 2*d}, where d = 2n, 2*n, i.e., {p, p+2n, 2*n, p+2n2*n+4n4*n} = {p, p+2n, 2*n, p+6n6*n} are consecutive primes.

EXTENSIONS

More Terms corrected and more terms from Jinyuan Wang, Feb 10 2021

#10 by Jinyuan Wang at Wed Feb 10 03:52:51 EST 2021

DATA

5, 397, 503, 1823, 1627, 8317, 5939, 94153, 68539, 69539, 83117, 444187, 542299, 177019, 428873, 1179649, 955511, 1625027, 2541289, 1290683, 19856363, 12183757, 5412091, 23374859, 27248701, 38235013, 21369059, 34718041, 84118081, 84120737, 59859131, 125283913, 44155159, 70136597, 324954127

EXAMPLE

For n=3: , d = 2n 2*n = 6, d-pattern = {6, 12}, a(3) = 503, first corresponding prime triple is {503, 509, 521}.

PROG

(PARI) a(n) = my(p=5, q=3, r=2); until(r+2*n==q&&q+4*n==p, r=q; q=p; p=nextprime(p+1)); r; \\ Jinyuan Wang, Feb 10 2021

EXTENSIONS

More terms from Jinyuan Wang, Feb 10 2021

STATUS

approved

editing

#9 by Jon E. Schoenfield at Sat Jul 29 20:06:20 EDT 2017

STATUS

editing

approved

#8 by Jon E. Schoenfield at Sat Jul 29 20:06:17 EDT 2017

NAME

a(n) = p is the least prime introducing prime-difference pattern {d,2d}, where d = 2n, i.e. , {p, p+2n, p+2n+4n} = {p, p+2n, p+6n} are consecutive primes.

EXAMPLE

For n=3: d = 2n = 6, d-pattern = {6, 12}, a(3) = 503, first corresponding prime triple is {503, 509, 521}.

STATUS

approved

editing

#7 by N. J. A. Sloane at Tue Oct 15 22:31:49 EDT 2013

AUTHOR

_Labos E. (labos(AT)ana.sote.hu), Elemer_, Jan 21 2003

Discussion

Tue Oct 15

22:31

OEIS Server: https://oeis.org/edit/global/2029