What is the 5115th prime number?
The 5115th prime number is 49807. The next prime is 49811 (a gap of 4) and the one before is 49801.
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 5115th one is 49807.
- 2
49807 is prime because no prime up to ā49807 ā 223.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5115th prime is close to 5115 Ć ln(5115) ā 43682, and here it is 49807.
- 4
49807 has no twin: neither 49805 nor 49809 is prime.
Primes around the 5115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
Questions
What is the 5115th prime number?
49807.
Which prime number is 49807?
49807 is the 5115th prime number.
What is the sum of the first 5115 primes?
120,114,982.