What is the 27th prime number?
The 27th prime number is 103. The next prime is 107 (a gap of 4) and the one before is 101.
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 27th one is 103.
- 2
103 is prime because no prime up to ā103 ā 10.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 27th prime is close to 27 Ć ln(27) ā 89, and here it is 103.
- 4
103 is a twin prime: 101 and 103 are both prime.
Primes around the 27th
| Position | Prime | Gap from the previous |
|---|---|---|
| 24 | 89 | 6 |
| 25 | 97 | 8 |
| 26 | 101 | 4 |
| 27 | 103 | 2 |
| 28 | 107 | 4 |
| 29 | 109 | 2 |
| 30 | 113 | 4 |
Questions
What is the 27th prime number?
103.
Which prime number is 103?
103 is the 27th prime number.
What is the sum of the first 27 primes?
1,264.