What is the 4490th prime number?
The 4490th prime number is 42953. The next prime is 42961 (a gap of 8) and the one before is 42943.
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 4490th one is 42953.
- 2
42953 is prime because no prime up to ā42953 ā 207.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4490th prime is close to 4490 Ć ln(4490) ā 37759, and here it is 42953.
- 4
42953 has no twin: neither 42951 nor 42955 is prime.
Primes around the 4490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
Questions
What is the 4490th prime number?
42953.
Which prime number is 42953?
42953 is the 4490th prime number.
What is the sum of the first 4490 primes?
91,090,361.