What is the 5015th prime number?
The 5015th prime number is 48779. The next prime is 48781 (a gap of 2) and the one before is 48767.
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 5015th one is 48779.
- 2
48779 is prime because no prime up to ā48779 ā 220.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5015th prime is close to 5015 Ć ln(5015) ā 42729, and here it is 48779.
- 4
48779 is a twin prime: 48779 and 48781 are both prime.
Primes around the 5015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
Questions
What is the 5015th prime number?
48779.
Which prime number is 48779?
48779 is the 5015th prime number.
What is the sum of the first 5015 primes?
115,185,766.