What is the 4115th prime number?
The 4115th prime number is 39097. The next prime is 39103 (a gap of 6) and the one before is 39089.
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 4115th one is 39097.
- 2
39097 is prime because no prime up to ā39097 ā 197.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4115th prime is close to 4115 Ć ln(4115) ā 34247, and here it is 39097.
- 4
39097 has no twin: neither 39095 nor 39099 is prime.
Primes around the 4115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4112 | 39047 | 4 |
| 4113 | 39079 | 32 |
| 4114 | 39089 | 10 |
| 4115 | 39097 | 8 |
| 4116 | 39103 | 6 |
| 4117 | 39107 | 4 |
| 4118 | 39113 | 6 |
Questions
What is the 4115th prime number?
39097.
Which prime number is 39097?
39097 is the 4115th prime number.
What is the sum of the first 4115 primes?
75,691,326.