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A082229
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In the following square array numbers (not occurring earlier) are entered like this a(1,1),a(1,2),a(2,1),a(3,1),a(2,2),a(1,3),a(1,4),a(2,3),a(3,2),a(4,1),a(5,1),a(4,2),... such that every partial sum (n>1) of the rows is composite and every partial sum (n>1) of the columns is prime. 1 3 5 6... 2 8 12... 4 18... 10 24... 14... Sequence contains the first row.
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4
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1, 3, 5, 6, 7, 13, 9, 19, 15, 17, 21, 25, 23, 31, 27, 33, 29, 35, 37, 39, 41, 45, 43, 49, 47, 51, 53, 55, 57, 59, 61, 67, 63, 69, 65, 73, 71, 77, 75, 79, 81, 85, 83, 91, 87, 93, 89, 95, 97, 99, 101, 105, 103, 107, 109, 111, 113, 119, 115, 117, 121, 123, 125, 131, 127, 129
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| In the following square array numbers (not occurring earlier) are entered like this a(1,1),a(1,2),a(2,1),a(3,1),a(2,2),a(1,3),a(1,4),a(2,3),a(3,2),a(4,1),a(5,1),a(4,2),... such that every partial sum (n>1) of the rows is composite and every partial sum (n>1) of the columns is prime.
1 3 5 6...
2 8 12...
4 18...
10 24...
14...
...
e.g. the third partial sum of the second row is 2+8+12=22 is composite while the same for the second column is 3+8+18 = 29 is prime.
Sequence contains the first row.
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CROSSREFS
| Cf. A082224, A082225, A082226, A082227, A082228, A082230, A082231.
Sequence in context: A138927 A030333 A081677 * A086188 A154535 A006754
Adjacent sequences: A082226 A082227 A082228 * A082230 A082231 A082232
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KEYWORD
| hard,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 09 2003
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EXTENSIONS
| Extended by Max Alekseyev (maxale(AT)gmail.com), Apr 11 2009
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