What is the 4012th prime number?
The 4012th prime number is 37963. The next prime is 37967 (a gap of 4) and the one before is 37957.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4012th one is 37963.
- 2
37963 is prime because no prime up to ā37963 ā 194.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4012th prime is close to 4012 Ć ln(4012) ā 33288, and here it is 37963.
- 4
37963 has no twin: neither 37961 nor 37965 is prime.
Primes around the 4012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
| 4011 | 37957 | 6 |
| 4012 | 37963 | 6 |
| 4013 | 37967 | 4 |
| 4014 | 37987 | 20 |
| 4015 | 37991 | 4 |
Questions
What is the 4012th prime number?
37963.
Which prime number is 37963?
37963 is the 4012th prime number.
What is the sum of the first 4012 primes?
71,721,613.