What is the 3155th prime number?
The 3155th prime number is 29017. The next prime is 29021 (a gap of 4) and the one before is 29009.
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 3155th one is 29017.
- 2
29017 is prime because no prime up to ā29017 ā 170.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3155th prime is close to 3155 Ć ln(3155) ā 25419, and here it is 29017.
- 4
29017 has no twin: neither 29015 nor 29019 is prime.
Primes around the 3155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
Questions
What is the 3155th prime number?
29017.
Which prime number is 29017?
29017 is the 3155th prime number.
What is the sum of the first 3155 primes?
43,022,516.