What is the 4495th prime number?
The 4495th prime number is 43003. The next prime is 43013 (a gap of 10) and the one before is 42989.
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 4495th one is 43003.
- 2
43003 is prime because no prime up to ā43003 ā 207.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4495th prime is close to 4495 Ć ln(4495) ā 37806, and here it is 43003.
- 4
43003 has no twin: neither 43001 nor 43005 is prime.
Primes around the 4495th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
| 4497 | 43019 | 6 |
| 4498 | 43037 | 18 |
Questions
What is the 4495th prime number?
43003.
Which prime number is 43003?
43003 is the 4495th prime number.
What is the sum of the first 4495 primes?
91,305,260.