No, 301 is not a prime number. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In the case of 301, it can be expressed as 7 x 43, indicating that it has factors other than 1 and itself, making it a composite number.
The answer is that the farmer had 301 eggs to begin with.See the first link for how someone explained it.I got that the first possibility is 7x43 = 301, but other possible answers are7x103 = 7217x163 = 11417x223 = 15617x283 = 19817x343(first composite factor here) = 24017x403 (second one, 13x31) = 2821Conjecture: all solutions are 7x(43 + 60n) for n = 0, 1, 2, 3 . . .
7x1=7, 7x2=14, 7x3=21, 7x4=28,7x5=35, 7x6=42, 7x7=49, 7x8=56,7x9=63, 7x10=70, 7x11=77, 7x12=84,7x13=91, 7x14=91, 7x15=105, 7x16=112,7x17=119, 7x18=126, 7x19=133, 7x20=140,7x21=147, 7x22=154, 7x23=161, 7x24=168,7x25=175, 7x26=182, 7x27=189, 7x28=196,7x29=203, 7x30=210, 7x31=217, 7x32=224,7x33=231, 7x34=238, 7x35=245, 7x36=252,7x37=259, 7x38=266, 7x39=273, 7x40=280,7x41=287, 7x42=294, 7x43=301, 7x44=308,7x45=315, 7x46=322, 7x47=329, 7x48=336,7x49=343, 7x50=350, 7x51=357, 7x52=364,7x53=371, 7x54=378, 7x55=385, 7x56=392,7x57=399, 7x58=406, 7x59=413, 7x60=420,7x61=427, 7x62=434, 7x63=441, 7x64=448,7x65=455, 7x66=462, 7x67=469, 7x68=476,7x69=483, 7x70=490, 7x71=497