What is the 3070th prime number?
The 3070th prime number is 28151. The next prime is 28163 (a gap of 12) and the one before is 28123.
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 3070th one is 28151.
- 2
28151 is prime because no prime up to ā28151 ā 167.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3070th prime is close to 3070 Ć ln(3070) ā 24650, and here it is 28151.
- 4
28151 has no twin: neither 28149 nor 28153 is prime.
Primes around the 3070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
Questions
What is the 3070th prime number?
28151.
Which prime number is 28151?
28151 is the 3070th prime number.
What is the sum of the first 3070 primes?
40,592,097.