|
Search: id:A111163
|
|
|
| A111163 |
|
Triangular numbers that are sums of two consecutive primes. |
|
+0
1
|
|
| 36, 78, 120, 210, 276, 300, 630, 946, 990, 1770, 1830, 2556, 2850, 3240, 3570, 4278, 4950, 5460, 8256, 9870, 10878, 11026, 12090, 12720, 20100, 20910, 23436, 26796, 31626, 34980, 41616, 43660, 46056, 55278, 56616, 57630, 59340, 66066, 73920
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
36 = 8(8+1)/2 = 17 + 19. Therefore 36 belongs to the sequence.
|
|
MATHEMATICA
|
Select[Table[Prime[n] + Prime[n + 1], {n, 4500}], IntegerQ[Sqrt[1 + 8# ]] &] (*Chandler*)
|
|
PROGRAM
|
(PARI) {p=2; c=0; while(c<40, q=nextprime(p+1); s=p+q; k=sqrtint(2*s); if(k*(k+1)/2==s, print1(s, ", "); c++); p=q)} - (Klaus Brockhaus)
|
|
CROSSREFS
|
Cf. A000217.
Adjacent sequences: A111160 A111161 A111162 this_sequence A111164 A111165 A111166
Sequence in context: A024975 A025399 A034813 this_sequence A136359 A084006 A043183
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Oct 20 2005
|
|
EXTENSIONS
|
Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net) and Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 22 2005
|
|
|
Search completed in 0.002 seconds
|
