What is the 4437th prime number?
The 4437th prime number is 42437. The next prime is 42443 (a gap of 6) and the one before is 42433.
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 4437th one is 42437.
- 2
42437 is prime because no prime up to ā42437 ā 206.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4437th prime is close to 4437 Ć ln(4437) ā 37261, and here it is 42437.
- 4
42437 has no twin: neither 42435 nor 42439 is prime.
Primes around the 4437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
| 4440 | 42457 | 6 |
Questions
What is the 4437th prime number?
42437.
Which prime number is 42437?
42437 is the 4437th prime number.
What is the sum of the first 4437 primes?
88,827,710.