What is the 4676th prime number?
The 4676th prime number is 45007. The next prime is 45013 (a gap of 6) and the one before is 44987.
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 4676th one is 45007.
- 2
45007 is prime because no prime up to ā45007 ā 212.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4676th prime is close to 4676 Ć ln(4676) ā 39513, and here it is 45007.
- 4
45007 has no twin: neither 45005 nor 45009 is prime.
Primes around the 4676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
Questions
What is the 4676th prime number?
45007.
Which prime number is 45007?
45007 is the 4676th prime number.
What is the sum of the first 4676 primes?
99,278,407.