What is the 4486th prime number?
The 4486th prime number is 42923. The next prime is 42929 (a gap of 6) and the one before is 42901.
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 4486th one is 42923.
- 2
42923 is prime because no prime up to ā42923 ā 207.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4486th prime is close to 4486 Ć ln(4486) ā 37722, and here it is 42923.
- 4
42923 has no twin: neither 42921 nor 42925 is prime.
Primes around the 4486th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
Questions
What is the 4486th prime number?
42923.
Which prime number is 42923?
42923 is the 4486th prime number.
What is the sum of the first 4486 primes?
90,918,599.