What is the 3071st prime number?
The 3071st prime number is 28163. The next prime is 28181 (a gap of 18) and the one before is 28151.
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 3071st one is 28163.
- 2
28163 is prime because no prime up to ā28163 ā 167.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3071st prime is close to 3071 Ć ln(3071) ā 24659, and here it is 28163.
- 4
28163 has no twin: neither 28161 nor 28165 is prime.
Primes around the 3071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
Questions
What is the 3071st prime number?
28163.
Which prime number is 28163?
28163 is the 3071st prime number.
What is the sum of the first 3071 primes?
40,620,260.