What is the 4116th prime number?
The 4116th prime number is 39103. The next prime is 39107 (a gap of 4) and the one before is 39097.
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 4116th one is 39103.
- 2
39103 is prime because no prime up to ā39103 ā 197.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4116th prime is close to 4116 Ć ln(4116) ā 34256, and here it is 39103.
- 4
39103 has no twin: neither 39101 nor 39105 is prime.
Primes around the 4116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4113 | 39079 | 32 |
| 4114 | 39089 | 10 |
| 4115 | 39097 | 8 |
| 4116 | 39103 | 6 |
| 4117 | 39107 | 4 |
| 4118 | 39113 | 6 |
| 4119 | 39119 | 6 |
Questions
What is the 4116th prime number?
39103.
Which prime number is 39103?
39103 is the 4116th prime number.
What is the sum of the first 4116 primes?
75,730,429.