What is the 5013th prime number?
The 5013th prime number is 48761. The next prime is 48767 (a gap of 6) and the one before is 48757.
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 5013th one is 48761.
- 2
48761 is prime because no prime up to ā48761 ā 220.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5013th prime is close to 5013 Ć ln(5013) ā 42710, and here it is 48761.
- 4
48761 has no twin: neither 48759 nor 48763 is prime.
Primes around the 5013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
Questions
What is the 5013th prime number?
48761.
Which prime number is 48761?
48761 is the 5013th prime number.
What is the sum of the first 5013 primes?
115,088,220.