What is the 5031st prime number?
The 5031st prime number is 48947. The next prime is 48953 (a gap of 6) and the one before is 48907.
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 5031st one is 48947.
- 2
48947 is prime because no prime up to ā48947 ā 221.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5031st prime is close to 5031 Ć ln(5031) ā 42881, and here it is 48947.
- 4
48947 has no twin: neither 48945 nor 48949 is prime.
Primes around the 5031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
Questions
What is the 5031st prime number?
48947.
Which prime number is 48947?
48947 is the 5031st prime number.
What is the sum of the first 5031 primes?
115,967,332.