What is the 4677th prime number?
The 4677th prime number is 45013. The next prime is 45053 (a gap of 40) and the one before is 45007.
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 4677th one is 45013.
- 2
45013 is prime because no prime up to ā45013 ā 212.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4677th prime is close to 4677 Ć ln(4677) ā 39523, and here it is 45013.
- 4
45013 has no twin: neither 45011 nor 45015 is prime.
Primes around the 4677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
Questions
What is the 4677th prime number?
45013.
Which prime number is 45013?
45013 is the 4677th prime number.
What is the sum of the first 4677 primes?
99,323,420.