Just look at the sequence. Fibonacci numbers are a sequence where each number is the sum of the previous two - starting with 1;1. The sequence starts with: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... (The numbers in bold are prime numbers.)
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No, they are not the normal Fibonacci numbers.
The first 85 Fibonacci numbers are:011235813213455891442333776109871,5972,5844,1816,76510,94617,71128,65746,36875,025121,393196,418317,811514,229832,0401,346,2692,178,3093,524,5785,702,8879,227,46514,930,35224,157,81739,088,16963,245,986102,334,155165,580,141267,914,296433,494,437701,408,7331,134,903,1701,836,311,9032,971,215,0734,807,526,9767,778,742,04912,586,269,02520,365,011,07432,951,280,09953,316,291,17386,267,571,272139,583,862,445225,851,433,717365,435,296,162591,286,729,879956,722,026,0411,548,008,755,9202,504,730,781,9614,052,739,537,8816,557,470,319,84210,610,209,857,72317,167,680,177,56527,777,890,035,28844,945,570,212,85372,723,460,248,141117,669,030,460,994190,392,490,709,135308,061,521,170,129498,454,011,879,264806,515,533,049,3931,304,969,544,928,6572,111,485,077,978,0503,416,454,622,906,7075,527,939,700,884,7578,944,394,323,791,46414,472,334,024,676,22123,416,728,348,467,68537,889,062,373,143,90661,305,790,721,611,59199,194,853,094,755,497160,500,643,816,367,088
37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Prime numbers are divisible because any numbers that are divisible are prime. If a number isn't divisible, it isn't prime. Prime numbers have to be divisible by at least one pair of numbers to be prime.
Any number that is not a prime number.. . .Prime numbers: 1,3,5 and 7