What is the 4715th prime number?
The 4715th prime number is 45481. The next prime is 45491 (a gap of 10) and the one before is 45439.
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 4715th one is 45481.
- 2
45481 is prime because no prime up to ā45481 ā 213.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4715th prime is close to 4715 Ć ln(4715) ā 39882, and here it is 45481.
- 4
45481 has no twin: neither 45479 nor 45483 is prime.
Primes around the 4715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4712 | 45427 | 14 |
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
| 4717 | 45497 | 6 |
| 4718 | 45503 | 6 |
Questions
What is the 4715th prime number?
45481.
Which prime number is 45481?
45481 is the 4715th prime number.
What is the sum of the first 4715 primes?
101,043,258.