Prime Curios!: 28229

28229
(another Prime Pages' Curiosity)

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The largest known prime partial sum of Proth primes: 3 + 5 + 13 + 17 + 41 + 97 + 113 + 193 + 241 + 257 + 353 + 449 + 577 + 641 + 673 + 769 + 929 + 1153 + 1217 + 1409 + 1601 + 2113 + 2689 + 2753 + 3137 + 3329 + 3457 = 28229 is prime, but not a Proth prime. After the trivial 3, what is the smallest Proth prime partial sum of Proth primes? [Post]

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