What is the 5016th prime number?
The 5016th prime number is 48781. The next prime is 48787 (a gap of 6) and the one before is 48779.
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 5016th one is 48781.
- 2
48781 is prime because no prime up to ā48781 ā 220.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5016th prime is close to 5016 Ć ln(5016) ā 42738, and here it is 48781.
- 4
48781 is a twin prime: 48779 and 48781 are both prime.
Primes around the 5016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
Questions
What is the 5016th prime number?
48781.
Which prime number is 48781?
48781 is the 5016th prime number.
What is the sum of the first 5016 primes?
115,234,547.