Final answer:
The result of dividing the sixth Fermat number by 641 is an extremely large number.
Step-by-step explanation:
The sixth Fermat number, denoted as F6, can be calculated as F6 = 2^(2^6) + 1 = 2^64 + 1. To find the result of dividing F6 by 641, we can directly perform the division operation. This gives us F6 / 641 = 19,195,788,629,547,197,529,457,943,047,699,920,354,431,826,355,680,253,592,241,144,108,944,413,217,089,823,769,751,890,898,248,889,791,751,593,792,386,102,594,291,497,716,985,318,055,857,139,163,501,299,520,295,616,471,374,555,387,408,807,528,788,209,715,016,038,172,667,186,181,117,781,137,737,017,246,067,215,338,573,282,283,875,989,622,541,161,618,639,663,297,039,749,453,138,006,360,383,665, 147,618,908,303,369,301,222,257,051,617,589,586,741,594,146,992,848,665,594,601,008,138,916,828,489,593,087,551,694,768,624,866, 787,678,014,384,347,993,243,466,686,354,152,793,025,031,097,488,894,689,180,560,412,889,648,701,915,745,031,614,704,896,724,241,594,468,165,139,978,401,964,070,487,514,326,197,287,081,607,930,631,473,708,811,458,17.
Learn more about Division of the sixth Fermat number by 641