What is the 3069th prime number?
The 3069th prime number is 28123. The next prime is 28151 (a gap of 28) and the one before is 28111.
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 3069th one is 28123.
- 2
28123 is prime because no prime up to ā28123 ā 167.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3069th prime is close to 3069 Ć ln(3069) ā 24641, and here it is 28123.
- 4
28123 has no twin: neither 28121 nor 28125 is prime.
Primes around the 3069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
Questions
What is the 3069th prime number?
28123.
Which prime number is 28123?
28123 is the 3069th prime number.
What is the sum of the first 3069 primes?
40,563,946.