|
Search: id:A084748
|
|
|
| A084748 |
|
Primes of the form n! + p where p is the smallest prime > n. |
|
+0
2
|
|
| 3, 5, 11, 29, 127, 727, 5051, 3628811, 8683317618811886495518194401280000037, 2658271574788448768043625811014615890319638528000000047, 12413915592536072670862289047373375038521486354677760000000053
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Let a term k! + p = prime(r) then prime(r) -prime(r-1) >=p-1.
|
|
FORMULA
|
a(n) = A084749(n)!+A007918(A084749(n)+1). - David Wasserman (wasserma(AT)spawar.navy.mil), Jan 04 2005
|
|
EXAMPLE
|
727 = 6! + 7 belongs to this sequence but 8! +11 is composite and is not a member.
|
|
CROSSREFS
|
Cf. A084749.
Sequence in context: A095302 A000101 A037152 this_sequence A146243 A108259 A093933
Adjacent sequences: A084745 A084746 A084747 this_sequence A084749 A084750 A084751
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 16 2003
|
|
EXTENSIONS
|
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 04 2005
|
|
|
Search completed in 0.002 seconds
|
