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A110363
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Beginning with 2, prime numbers such that successive differences are Fibonacci numbers.
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1
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2, 3, 5, 7, 41, 43, 653, 661, 14931013, 14931157, 2880067194385747277, 2880067194385747279, 555565404227172761598401539087, 370959230771131880927453873620406224662533776582329191
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