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A090236
Puzzle-Box primes (bases).
1
11, 13, 17, 31, 47, 53, 71, 79, 97, 113, 127, 131, 137, 139, 191, 199, 227, 229, 233, 313, 317, 331, 347, 349, 353, 359, 367, 419, 449, 457, 467, 479, 491, 503, 557, 569, 571, 577, 607, 617, 619, 647, 677, 691, 751, 757, 761, 797, 829, 839, 859, 911, 919, 929, 937
OFFSET
0,1
COMMENTS
Puzzle-box primes are intended to pique the interest of young school children in playing with numbers. The name is inspired by another Livermore resident, Harry L. Nelson, co-discover of M27 in 1979 and a maker of manipulative puzzles sometimes featured in the local press.
FORMULA
These are the base primes for the puzzle-box lids. When a lid is prime, the base is included in this sequences. Two primes form the box when the digits of the lid, placed over the base, line up to form the same number vertically. In the base prime, the largest digit is chosen, plus 1. All digits in the base prime are then subtracted from this number.
EXAMPLE
a(1)=13. 13 is the base. When the prime lid, 31, is placed above the base 13, it forms a box: 31 over 13 and the two columns add to 4 and 4 [since 3 is the largest digit in the base, 3+1=4, all columns in base and lid must add to this number].
CROSSREFS
Cf. A090233.
Sequence in context: A354524 A162237 A325870 * A240623 A240624 A375091
KEYWORD
easy,nonn
AUTHOR
Enoch Haga, Jan 23 2004
STATUS
approved