What is the 2110th prime number?
The 2110th prime number is 18427. The next prime is 18433 (a gap of 6) and the one before is 18413.
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 2110th one is 18427.
- 2
18427 is prime because no prime up to ā18427 ā 135.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2110th prime is close to 2110 Ć ln(2110) ā 16151, and here it is 18427.
- 4
18427 has no twin: neither 18425 nor 18429 is prime.
Primes around the 2110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2107 | 18397 | 18 |
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
| 2112 | 18439 | 6 |
| 2113 | 18443 | 4 |
Questions
What is the 2110th prime number?
18427.
Which prime number is 18427?
18427 is the 2110th prime number.
What is the sum of the first 2110 primes?
18,245,305.