隣り合う素数の差から生成される数列

　隣り合う素数で、差が２となるペアを双子素数という。差が６となるペアをセクシーな素数ともいうそうだ。
　ここで計算してみたいのは、Ｐまでのすべての素数の集合を与えた時に、最大の差がどのようになるかである。
　それでは簡単な例を示そう。
｛２，３，５，７，１１｝なる素数集合を与える。その時の隣り合う素数の差分は
｛１，２，２，４｝となる。
　すなわちＰ=１１の時の最大の差は「４」となる。
これを任意の素数Ｐを与えて、最大差を出力するような関数を定義すればよいのだ。

１００００個までの素数に対して次のような最大差分の数列が生まれ落ちる。

　{1, 2, 4, 6, 8, 14, 18, 20, 22, 34, 36, 44, 52, 72}

　50個ごとの素数列を十万点計算してみよう。即ち、素数２から7368787までの範囲での最大差分の変化を計算する。
　こんなパターンとなる。１５４が最大ｇａｐである。

　上記の計算結果を示す。
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