Padovan Sequence - Padovan Prime

A Padovan prime is P(n) that is prime. The first few Padovan primes are

2, 3, 5, 7, 37, 151, 3329, 23833, .... (sequence A100891 in OEIS)

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    The prime purpose of being four is to enjoy being four—of secondary importance is to prepare for being five.
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