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What a fascinating question !
I examined the first 43,000 prime numbers ... up to 519,287 .
The first pair of primes that differ by at least 100 is 370,261 and 370,373.
They are the 31,546th and 31,547th primes, and the difference is 112.
The only other pairs in the first 43,000 primes with differences of 100 or more are:
33,609th and 33,610th primes: 396,733 and 396,833, difference = 100
40,934th and 40935th primes: 492,113 and 492,227, difference = 114
Interesting how the difference of 112 occurs before the difference of 100.
(It's completely tasteless, frowned upon, and forbidden for a person like me
who writes an answer he's proud of to then shamelessly ask for a Trust Point.)
The first 10 pairs of consecutive primes that differ by at least 100 are:
(370261, 370373), (396733, 396833), (492113, 492227), (838249, 838349), (1098847, 1098953), (1313467, 1313567), (1349533, 1349651), (1357201, 1357333), (1388483, 1388587), (1444309, 1444411)
The first 10 pairs of consecutive primes that differ by exactly 100 are:
(396733, 396833), (838249, 838349), (1313467, 1313567), (1648081, 1648181), (1655707, 1655807), (2345989, 2346089), (2784373, 2784473), (3254959, 3255059), (3595489, 3595589), (4047157, 4047257)
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What consecutive prime integers have a difference of 20?
The first two consecutive prime numbers that have a difference of 20 are the numbers 887 and 907.
What are the two consecutive prime numbers with difference 2 called?
My guess is you're talking about prime numbers with a prime gap of two.
What are the consecutive prime numbers whose difference is 16?
4111 and 4127
What are all the pairs of prime numbers that are consecutive numbers?
The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?
Can 3 consecutive whole numbers be primes?
No. Any three consecutive numbers will have at least one of them which is divisible by 2, which means it cannot be prime. And since 1 is not considered a prime number, it cannot happen.
