What is the 4487th prime number?
The 4487th prime number is 42929. The next prime is 42937 (a gap of 8) and the one before is 42923.
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 4487th one is 42929.
- 2
42929 is prime because no prime up to ā42929 ā 207.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4487th prime is close to 4487 Ć ln(4487) ā 37731, and here it is 42929.
- 4
42929 has no twin: neither 42927 nor 42931 is prime.
Primes around the 4487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
Questions
What is the 4487th prime number?
42929.
Which prime number is 42929?
42929 is the 4487th prime number.
What is the sum of the first 4487 primes?
90,961,528.