A215998
Primes that are the sum of 351 consecutive primes.
Original entry on oeis.org
403511, 418007, 430267, 432737, 455123, 467699, 470219, 487843, 502937, 513041, 515579, 518113, 546109, 571783, 574363, 584719, 634603, 645187, 647837, 653153, 671851, 674533, 679891, 720229, 750037, 779873, 796139, 817891, 820609, 847991, 861761, 883877
Offset: 1
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Select[Total/@Partition[Prime[Range[700]],351,1],PrimeQ] (* Harvey P. Dale, Jun 05 2023 *)
A215999
Primes that are the sum of 401 consecutive primes.
Original entry on oeis.org
527207, 535571, 541181, 555251, 572281, 575137, 586589, 589453, 592343, 689321, 698311, 731261, 734263, 761489, 862177, 880681, 945767, 1033423, 1039763, 1042931, 1071419, 1077751, 1093633, 1112731, 1115929, 1131943, 1135129, 1141531, 1151167, 1164043
Offset: 1
A216000
Primes that are the sum of 451 consecutive primes.
Original entry on oeis.org
674749, 684433, 697399, 716987, 726797, 773027, 799741, 803087, 809779, 853403, 941737, 955481, 1021001, 1027931, 1087301, 1118863, 1164689, 1168247, 1175353, 1207387, 1257437, 1271813, 1304239, 1322341, 1351283, 1387783, 1446041, 1449683, 1504627, 1523063
Offset: 1
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Select[Total/@Partition[Prime[Range[700]],451,1],PrimeQ] (* Harvey P. Dale, Aug 10 2025 *)
A216001
Primes that are the sum of 501 consecutive primes.
Original entry on oeis.org
846259, 849869, 867991, 875263, 963751, 1061509, 1137811, 1168537, 1207259, 1226681, 1273543, 1297169, 1312931, 1320791, 1336547, 1344461, 1364239, 1372171, 1384069, 1388029, 1391989, 1403953, 1415971, 1419973, 1435997, 1483991, 1528141, 1532161, 1560457
Offset: 1
A216002
Primes that are the sum of 1001 consecutive primes.
Original entry on oeis.org
3698771, 3915479, 3947903, 4037197, 4045333, 4102471, 4192709, 4209167, 4275149, 4440613, 4457197, 4465501, 4515311, 4565107, 4623467, 4698697, 4757339, 4832941, 5001421, 5026771, 5052109, 5085869, 5102761, 5119649, 5221283, 5289299, 5323321
Offset: 1
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Select[Total/@Partition[Prime[Range[2000]], 1001, 1], PrimeQ] (* Vincenzo Librandi, Dec 17 2013 *)
A216003
Primes that are the sum of 1501 consecutive primes.
Original entry on oeis.org
8872139, 8922577, 8947817, 9036329, 9061673, 9074357, 9125143, 9150569, 9354619, 9469693, 9495293, 9508099, 9533759, 9649357, 9687889, 9713623, 9752243, 9894179, 9984827, 10088569, 10153519, 10309927, 10479577, 10492637, 10571123, 10833247, 10964857, 11057279
Offset: 1
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Select[Total/@Partition[Prime[Range[1700]],1501,1],PrimeQ] (* Harvey P. Dale, Oct 19 2022 *)
A216004
Primes that are the sum of 2001 consecutive primes.
Original entry on oeis.org
16344247, 16588633, 16711217, 17416457, 17700139, 17806721, 17860039, 17895613, 18091313, 18144727, 18483739, 18573209, 18698791, 19040773, 19384609, 19529849, 19620719, 19748129, 19784543, 19802759, 20421971, 20476777, 20531593, 20806141, 21283169, 21356563
Offset: 1
a(1) = sum(prime(k), k = 4..2004), a(2) = sum(prime(k), k = 18..2018),... - _Zak Seidov_, Feb 27 2013
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m = 2001; a = 2; b = Prime[m]; s = Sum[Prime[k], {k, m}]; Reap[Do[If[PrimeQ[s], Sow[s]]; b = NextPrime[b]; s = s - a + b; a = NextPrime[a], {m}]][[2, 1]] (* Zak Seidov, Feb 27 2013 *)
Select[Total/@Partition[Prime[Range[2500]],2001,1],PrimeQ] (* Harvey P. Dale, Mar 13 2018 *)
A216005
Primes that are the sum of 2501 consecutive primes.
Original entry on oeis.org
26367581, 26524517, 26636821, 26726761, 27087383, 27132509, 27222803, 27448879, 27494167, 27630191, 27675569, 27698267, 27720967, 27743657, 27789029, 27834407, 28379887, 28562201, 28607801, 29202997, 29225923, 29271763, 29317609, 29593009, 29937619
Offset: 1
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Select[Total/@Partition[Prime[Range[2700]],2501,1],PrimeQ] (* Harvey P. Dale, May 30 2020 *)
A216006
Primes that are the sum of 3001 consecutive primes.
Original entry on oeis.org
39140867, 39693847, 39749167, 40081687, 40359257, 40581559, 40748537, 40804271, 41334719, 41362687, 41390659, 41558513, 41894353, 41978333, 42006331, 42650789, 42706913, 42931589, 43240993, 43578947, 43973887, 44623771, 44906977, 45417859, 45474727
Offset: 1
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Select[Total/@Partition[Prime[Range[3500]],3001,1],PrimeQ] (* Harvey P. Dale, Jun 18 2021 *)
A216007
Primes that are the sum of 3501 consecutive primes.
Original entry on oeis.org
53762473, 54580861, 56127707, 56160719, 56821909, 57516983, 57848503, 58047551, 58346461, 58479529, 59579347, 59612741, 59846513, 60314269, 60581777, 60816023, 60916517, 61553347, 61956287, 62292619, 62460887, 62561879, 62595551, 63067223, 63742037
Offset: 1
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