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a(n) is the smallest prime p such that p^2 divides Bell(p+n)-) - Bell(n+1)-) - Bell(n).

a(29) > 10^7 - _. - _Hiroaki Yamanouchi_, Sep 01 2018

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a(29) > 10^7 - Hiroaki Yamanouchi, Sep 01 2018

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a(29) > 242000 and a(89) > 90000, if they exist. The terms from a(30) to ita(89) are exists2, 163, 2, 2, 2, 7, 2, 19, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 7, 2, 2, 2, 359, 2, 3, 2, 2, 2, 7, 2, 43, 2, 2, 2, 3, 2, 5, 2, 2, 2, 5, 2, 547, 2, 2, 2, 3, 2, 7, 2, 2, 2, 59, 2, 5, 2, 2, 2. - Giovanni Resta, Aug 26 2018

a(29) > 242000, if it exists. - Giovanni Resta, Aug 26 2018

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