24
This number is a composite.
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If the fraction 4/n is not equal to a sum of three distinct
unit fractions, then each prime divisor of n must be
congruent to 1 modulo 24. [Post]
Exactly half, 24 of the contiguous 48 states of the United
States plus the District of Columbia (DC) are adjacent to a
prime number of other states or districts. DC, FL, RI, SC,
WA are connected to 2 other states; CA, CT, DE, LA, MI, ND,
NH, NJ, VT are connected to 3 other states; GA, IL, MA, MD,
NV, NY, OH, UT, WV are connected to 5 other states; KY is
connected to 7 other states. [Post]
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