A344891 Divide the primes into subsets of lengths given by successive primes, then reverse the order of terms in each subset.

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

Author

Paolo Xausa, Jun 01 2021

Keywords

• nonn
• tabf

Comments

Irregular triangle read by rows in which row n lists the next p primes in decreasing order, where p is the n-th prime, with n >= 1.

Examples

			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;
  ...
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Right border gives A180302.

Row lengths give A000040.

Row products give A119645.

Row sums give A034958.

Cf. A343809.

Programs

Mathematica

Module[{nn=10,p},p=Total[Prime[Range[nn]]];Flatten[Reverse/@TakeList[ Prime[ Range[ p]],Prime[Range[nn]]]]] (* Harvey P. Dale, Sep 14 2022 *)