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A222558 Least prime p such that 2*n*p is a sum of 10^6 subsequent primes. 0
3736971300983, 1868582442157, 1245659681423, 934275734321, 747425233469, 622762733249, 534156162737, 467093343419, 415824854441, 373728877943, 339743670103, 311538175027, 287741107327, 266994001331, 249114901193, 233613943273, 219815919913, 208214150917 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Indices of first primes are: 64, 89, 65, 81, 84, 13, 338, 35, 768, 105, 91, 256, 537, 186, 32, 174, 51, 1469, 519, 277, 2132, 232, 241, 310, 179, 744, 1835, 535, 787, 167, 664, 1538, 1253, 484, 620, 1450, 961, 649, 1472, 166, 480, 918, 107, 418, 173, 370, 871, 1967, 71, 534.
First primes are: 311, 461, 313, 419, 433, 41, 2273, 149, 5849, 571, 467, 1619, 3877, 1109, 131, 1033, 233, 12281, 3719, 1787, 18671, 1459, 1523, 2053, 1063, 5653, 15737, 3853, 6037, 991, 4967, 12917, 10211, 3461, 4583, 12109, 7573, 4817, 12323, 983, 3413, 7187, 587, 2887, 1031, 2531, 6763, 17047, 353, 3851.
LINKS
EXAMPLE
a(1) = 3736971300983 = (p(64)+...+p(1000063)/2 = (311 +... 15486871)/2
a(2) = 1868582442157 = (p(289)+...+p(1000288)/2 = (461 +... 15487253)/4
MATHEMATICA
Do[s = 7472966967499 ; a = 2; b = 15485863; Do[s = s - a + (b = NextPrime[b]); a = NextPrime[a]; If[PrimeQ[s/m] , Print[{m, k, a, b, s/m}]; Break[]], {k, 2, 10^6}], {m, 2, 100, 2}]
CROSSREFS
Sequence in context: A209834 A230485 A172646 * A290504 A172630 A186912
KEYWORD
nonn
AUTHOR
Zak Seidov, Feb 25 2013
STATUS
approved

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Last modified April 18 10:46 EDT 2024. Contains 371779 sequences. (Running on oeis4.)