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A054574
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Begin with n-th prime, add its prime divisors (itself), repeat until reach a new prime; sequence gives prime reached.
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2
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23, 11, 17, 23, 47, 41, 53, 59, 71, 89, 167, 113, 269, 131, 167, 191, 179, 227, 239, 263, 251, 239, 251, 269, 293, 431, 311, 359, 383, 383, 383, 479, 479, 419, 449, 881, 2039, 491, 503, 521, 2039, 659, 2039, 743, 593, 599, 839, 743, 683, 911, 701, 719, 1103
(list; graph; refs; listen; history; internal format)
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