- The primes
3, 5, 7 form an Arithmetic Sequence. There is a
constant difference of 2 between one prime and the
next. However the next term of the sequence is 9 which
is not a prime number. So we have found only three
prime numbers in arithmetic sequence.
- The primes
5, 11, 17, 23, 29 form an Arithmetic Sequence with
constant difference 6. The next term 35 is not prime,
but five primes forming an arithmetic sequence beats
three primes!
- So what's
the world record?
If you
start with the prime
100996972469714247637786655587969840329509324689190041803603417758904341703348882159067229719
- and use a
constant difference of 210 you will produce the record
breaking arithmetic sequence of TEN primes discovered
by Manfred Toplic on 2 March 1998. More
information.
- Can you
find an example to beat the five prime sequence?
Here's The
Prime List.
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No
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