A343859
Partial sums of the primes excluding 3.
Original entry on oeis.org
2, 7, 14, 25, 38, 55, 74, 97, 126, 157, 194, 235, 278, 325, 378, 437, 498, 565, 636, 709, 788, 871, 960, 1057, 1158, 1261, 1368, 1477, 1590, 1717, 1848, 1985, 2124, 2273, 2424, 2581, 2744, 2911, 3084, 3263, 3444, 3635, 3828, 4025, 4224, 4435, 4658, 4885, 5114, 5347
Offset: 1
Apart from the initial term this is the column 4 of
A343809.
A344891
Divide the primes into subsets of lengths given by successive primes, then reverse the order of terms in each subset.
Original entry on oeis.org
3, 2, 11, 7, 5, 29, 23, 19, 17, 13, 59, 53, 47, 43, 41, 37, 31, 107, 103, 101, 97, 89, 83, 79, 73, 71, 67, 61, 179, 173, 167, 163, 157, 151, 149, 139, 137, 131, 127, 113, 109, 271, 269, 263, 257, 251, 241, 239, 233, 229, 227, 223, 211, 199, 197, 193, 191, 181
Offset: 1
Written as an irregular triangle in which row lengths give A000040 the sequence begins:
3, 2;
11, 7, 5;
29, 23, 19, 17, 13;
59, 53, 47, 43, 41, 37, 31;
107, 103, 101, 97, 89, 83, 79, 73, 71, 67, 61;
179, 173, 167, 163, 157, 151, 149, 139, 137, 131, 127, 113, 109;
...
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Module[{nn=10,p},p=Total[Prime[Range[nn]]];Flatten[Reverse/@TakeList[ Prime[ Range[ p]],Prime[Range[nn]]]]] (* Harvey P. Dale, Sep 14 2022 *)
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