What is the 26th prime number?
The 26th prime number is 101. The next prime is 103 (a gap of 2) and the one before is 97.
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 26th one is 101.
- 2
101 is prime because no prime up to ā101 ā 10.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 26th prime is close to 26 Ć ln(26) ā 85, and here it is 101.
- 4
101 is a twin prime: 101 and 103 are both prime.
Primes around the 26th
| Position | Prime | Gap from the previous |
|---|---|---|
| 23 | 83 | 4 |
| 24 | 89 | 6 |
| 25 | 97 | 8 |
| 26 | 101 | 4 |
| 27 | 103 | 2 |
| 28 | 107 | 4 |
| 29 | 109 | 2 |
Questions
What is the 26th prime number?
101.
Which prime number is 101?
101 is the 26th prime number.
What is the sum of the first 26 primes?
1,161.