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                                                              464 3668177711
+ The smallest prime with Hamming weight n (i.e. with exactly n 1s when written in binary): 2 + 3 + 7 + 23 + 31 + 311 + 127 + 383 + 991 + 2039 + 3583 + 6143 + 8191 + 73727 + 63487+ 129023 + 131071+ 522239 + 524287 + 1966079 + 4128767 + 16250879 + 14680063 + 33546239 + 67108351 + 201064447 + 260046847 + 536739839 + 1073479679 + 5335154687 + 2147483647 + 8581545983 + 16911433727 + 32212254719 + 51539607551 + 206141652991 + 266287972351 + 1030791102463 + 824633720831 + 2196875771903 = 4643668177711. [Post]




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