What is the 4488th prime number?
The 4488th prime number is 42937. The next prime is 42943 (a gap of 6) and the one before is 42929.
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 4488th one is 42937.
- 2
42937 is prime because no prime up to ā42937 ā 207.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4488th prime is close to 4488 Ć ln(4488) ā 37740, and here it is 42937.
- 4
42937 has no twin: neither 42935 nor 42939 is prime.
Primes around the 4488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
Questions
What is the 4488th prime number?
42937.
Which prime number is 42937?
42937 is the 4488th prime number.
What is the sum of the first 4488 primes?
91,004,465.