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A143801 Primes with sum of remainders modulo all smaller primes which is smaller than this sum for the preceding prime +0
1
223, 359, 383, 449, 503, 547, 701, 797, 881, 1049, 1097, 1229, 1307, 1439, 1627, 1733, 1759, 1987, 1997, 2027, 2221, 2287, 2309, 2437, 2477, 2579, 2617, 2647, 2801, 2861, 2903, 2999, 3023, 3067, 3167, 3191, 3329, 3467, 3581, 3697, 3761, 3911, 3947, 4057 (list; graph; listen)
OFFSET

1,1

COMMENT

These are the k-th primes, where A033955(k) < A033955(k-1)

EXAMPLE

When divided by 2,3,5,7,11,...., the number 211 gives remainders 1,1,1,1,2, etc., which sum to 1615 and the number 223 gives remainders 1,1,3,6,3, etc., which sum to 1573. 1573 is smaller than 1615, so 223 is in the sequence.

CROSSREFS

Sequence in context: A152824 A142386 A102950 this_sequence A118818 A142437 A138665

Adjacent sequences: A143798 A143799 A143800 this_sequence A143802 A143803 A143804

KEYWORD

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Sep 01 2008

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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