What is the 2030th prime number?
The 2030th prime number is 17669. The next prime is 17681 (a gap of 12) and the one before is 17659.
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 2030th one is 17669.
- 2
17669 is prime because no prime up to ā17669 ā 132.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2030th prime is close to 2030 Ć ln(2030) ā 15460, and here it is 17669.
- 4
17669 has no twin: neither 17667 nor 17671 is prime.
Primes around the 2030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2027 | 17627 | 4 |
| 2028 | 17657 | 30 |
| 2029 | 17659 | 2 |
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
Questions
What is the 2030th prime number?
17669.
Which prime number is 17669?
17669 is the 2030th prime number.
What is the sum of the first 2030 primes?
16,800,415.