Monday, May 23, 2011

[xnugfayw] 402707

It is quite surprising that a serendipitous search in OEIS found the integer 402707 occurring in TWO sequences.  The first one was expected, A135701, previously mentioned in first difference of Mersenne prime indices.

The second one is A177412 Fibonacci sequence beginning 14831,41069.  a(0)=14831 is a prime; the next prime number in the sequence is a(18604) = 2278143...6069, which has 3893 digits. (The initial values are chosen for this particularly long chain of consecutive composites.)

They of course have in common the subject matter of primes and composites; I was unable to find further information about the latter sequence.

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