What is the 2169th prime number?
The 2169th prime number is 19087. The next prime is 19121 (a gap of 34) and the one before is 19081.
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 2169th one is 19087.
- 2
19087 is prime because no prime up to ā19087 ā 138.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2169th prime is close to 2169 Ć ln(2169) ā 16662, and here it is 19087.
- 4
19087 has no twin: neither 19085 nor 19089 is prime.
Primes around the 2169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2166 | 19073 | 4 |
| 2167 | 19079 | 6 |
| 2168 | 19081 | 2 |
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
Questions
What is the 2169th prime number?
19087.
Which prime number is 19087?
19087 is the 2169th prime number.
What is the sum of the first 2169 primes?
19,351,960.