What is the 5030th prime number?
The 5030th prime number is 48907. The next prime is 48947 (a gap of 40) and the one before is 48889.
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 5030th one is 48907.
- 2
48907 is prime because no prime up to ā48907 ā 221.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5030th prime is close to 5030 Ć ln(5030) ā 42872, and here it is 48907.
- 4
48907 has no twin: neither 48905 nor 48909 is prime.
Primes around the 5030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5027 | 48871 | 2 |
| 5028 | 48883 | 12 |
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
Questions
What is the 5030th prime number?
48907.
Which prime number is 48907?
48907 is the 5030th prime number.
What is the sum of the first 5030 primes?
115,918,385.