What is the 3151st prime number?
The 3151st prime number is 28949. The next prime is 28961 (a gap of 12) and the one before is 28933.
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 3151st one is 28949.
- 2
28949 is prime because no prime up to ā28949 ā 170.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3151st prime is close to 3151 Ć ln(3151) ā 25383, and here it is 28949.
- 4
28949 has no twin: neither 28947 nor 28951 is prime.
Primes around the 3151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3148 | 28921 | 12 |
| 3149 | 28927 | 6 |
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
Questions
What is the 3151st prime number?
28949.
Which prime number is 28949?
28949 is the 3151st prime number.
What is the sum of the first 3151 primes?
42,906,550.