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Search: id:A033955
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| A033955 |
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a(n) = sum of the remainders when the n-th prime is divided by primes up to the (n-1)-th prime. |
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+0
7
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| 0, 1, 3, 4, 8, 13, 18, 27, 29, 46, 56, 70, 74, 88, 98, 134, 147, 171, 200, 217, 252, 274, 309, 323, 348, 418, 448, 471, 522, 571, 629, 685, 739, 777, 793, 853, 954, 997, 1002, 1120, 1148, 1220, 1338, 1419, 1466, 1540, 1615, 1573, 1633, 1707, 1825, 1892, 1986
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) = Sum{_1<=z<n} (prime(n) mod prime(z)).
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EXAMPLE
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a(5) = 8. The remainders when the fifth prime 11 is divided by 2, 3, 5, 7 are 1, 2, 1, 4, respectively and their sum = 8.
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MATHEMATICA
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a[n_] := Sum[Mod[Prime[n], Prime[i]], {i, 1, n-1}]
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PROGRAM
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for(y=2; y<infini; y++){ x=1; while(x<y) { a(n)=prime(y)%prime(x); x++}}
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CROSSREFS
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Cf. A067435, A067436, A024934.
Sequence in context: A052952 A074331 A153339 this_sequence A049720 A078172 A022308
Adjacent sequences: A033952 A033953 A033954 this_sequence A033956 A033957 A033958
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KEYWORD
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nonn,easy
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AUTHOR
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Armand Turpel (armandt(AT)unforgettable.com)
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 02 2002
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