What is the 3437th prime number?
The 3437th prime number is 32051. The next prime is 32057 (a gap of 6) and the one before is 32029.
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 3437th one is 32051.
- 2
32051 is prime because no prime up to ā32051 ā 179.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3437th prime is close to 3437 Ć ln(3437) ā 27985, and here it is 32051.
- 4
32051 has no twin: neither 32049 nor 32053 is prime.
Primes around the 3437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
Questions
What is the 3437th prime number?
32051.
Which prime number is 32051?
32051 is the 3437th prime number.
What is the sum of the first 3437 primes?
51,627,704.