What is the 4675th prime number?
The 4675th prime number is 44987. The next prime is 45007 (a gap of 20) and the one before is 44983.
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 4675th one is 44987.
- 2
44987 is prime because no prime up to ā44987 ā 212.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4675th prime is close to 4675 Ć ln(4675) ā 39504, and here it is 44987.
- 4
44987 has no twin: neither 44985 nor 44989 is prime.
Primes around the 4675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
Questions
What is the 4675th prime number?
44987.
Which prime number is 44987?
44987 is the 4675th prime number.
What is the sum of the first 4675 primes?
99,233,400.