What is the 169th prime number?
The 169th prime number is 1009. The next prime is 1013 (a gap of 4) and the one before is 997.
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 169th one is 1009.
- 2
1009 is prime because no prime up to ā1009 ā 31.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 169th prime is close to 169 Ć ln(169) ā 867, and here it is 1009.
- 4
1009 has no twin: neither 1007 nor 1011 is prime.
Primes around the 169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 166 | 983 | 6 |
| 167 | 991 | 8 |
| 168 | 997 | 6 |
| 169 | 1009 | 12 |
| 170 | 1013 | 4 |
| 171 | 1019 | 6 |
| 172 | 1021 | 2 |
Questions
What is the 169th prime number?
1009.
Which prime number is 1009?
1009 is the 169th prime number.
What is the sum of the first 169 primes?
77,136.