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Michel Talagrand has won the 2024 Abel prize for his work researching probability theory and the extremes of randomness. The Abel Prize is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes.
Identify the logic of the below given series and given answer.
Series I :: 1840, 1719, (P), 1694, 1890, 1665, 1921
Series II :: 175...
5 11 32 65 ? 389
...81, 90, 108, 135, 171, ?
34, 18, 20, ?, 70, 180
62 123 214 341 ? 727
...?, 8, 32, 72, 128, 200
35 18 19 30 62 ?
13 182 303 384 433 ?
...90 211 67 236 ? 265
...61 71 86 ? 131 161
...