A055000 -id:A055000 - cp's OEIS frontend

A054996 Integers that can be expressed as the sum of consecutive primes in exactly 1 way.

2, 3, 7, 8, 10, 11, 12, 13, 15, 18, 19, 24, 26, 28, 29, 30, 37, 39, 42, 43, 47, 48, 49, 52, 56, 58, 61, 68, 73, 75, 77, 78, 79, 84, 88, 89, 95, 98, 102, 103, 107, 113, 121, 124, 128, 129, 132, 137, 144, 149, 150, 151, 155, 156, 157, 158, 159, 160, 161, 162, 163

Offset: 1

Jud McCranie, May 30 2000

nonn

			8=3+5, so 8 is in the sequence.

R. K. Guy, Unsolved Problems in Number Theory, section C2.

Ray Chandler, Table of n, a(n) for n = 1..10000
Carlos Rivera, Puzzle 46. Primes expressible as sum of consecutive primes in K ways, The Prime Puzzles and Problems Connection.

Cf. A054845, A054859, A054997, A054998, A054999, A055000, A055001.

A054845(a(n)) = 1. - Ray Chandler, Sep 20 2023

A055001 Integers that can be expressed as the sum of consecutive primes in exactly 6 ways.

Original entry on oeis.org

34421, 130638, 229841, 235493, 271919, 295504, 345011, 347856, 358446, 358877, 414221, 429804, 434669, 480951, 488603, 532423, 532823, 543625, 561375, 621937, 626852, 655561, 687496, 703087, 734069, 746829, 810418, 824099, 888793

Offset: 1

Jud McCranie, May 30 2000

nonn

R. K. Guy, Unsolved Problems in Number Theory, section C2.

Ray Chandler, Table of n, a(n) for n = 1..1000
Carlos Rivera, Puzzle 46. Primes expressible as sum of consecutive primes in K ways, The Prime Puzzles and Problems Connection.

Cf. A054845, A054859, A054996, A054997, A054998, A054999, A055000.

A054845(a(n)) = 6. - Ray Chandler, Sep 20 2023

A067375 Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways.

Original entry on oeis.org

16277, 20272, 25416, 28500, 34421, 41074, 45101, 46660, 50560, 53424, 59068, 68787, 70104, 70692, 71548, 78756, 85433, 85481, 88453, 94350, 98881, 105827, 117907, 120151, 121847, 125952, 130638, 130789, 131420, 132539, 133367, 134376, 135918, 139853, 158810

Offset: 1

Patrick De Geest, Feb 04 2002

nonn

			E.g. 16277 = (#7,2297) (#11,1451) (#13,1213) (#35,359) (#37,331).

Donovan Johnson, Table of n, a(n) for n = 1..1000
P. De Geest, WONplate 122
C. Rivera, Puzzle 46

Cf. A050936, A067372-A067381, A055000.

t={};Do[p=Prime[m];Do[p=p+Prime[n];If[p<200000,AppendTo[t,p]],{n,m+1,7001}],{m,1,7000}];t=Sort@t;f5[l_]:=Module[{t={}},Do[If[l[[n]]==l[[n+4]],AppendTo[t,l[[n]]]],{n,Length[l]-4}];t];Union@f5[t] (* Vladimir Joseph Stephan Orlovsky, Jan 30 2012 *)

A084143(a(n)) > 4. - Ray Chandler, Sep 20 2023

Offset and a(35) corrected by Donovan Johnson, Nov 14 2013

cp's OEIS Frontend

A054996 Integers that can be expressed as the sum of consecutive primes in exactly 1 way.

Views

Author

Keywords

Examples

References

Links

Crossrefs

Formula

A055001 Integers that can be expressed as the sum of consecutive primes in exactly 6 ways.

Views

Author

Keywords

References

Links

Crossrefs

Formula

A067375 Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

Formula

Extensions