What is the 1101st prime number?
The 1101st prime number is 8837. The next prime is 8839 (a gap of 2) and the one before is 8831.
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 1101st one is 8837.
- 2
8837 is prime because no prime up to ā8837 ā 94.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1101st prime is close to 1101 Ć ln(1101) ā 7711, and here it is 8837.
- 4
8837 is a twin prime: 8837 and 8839 are both prime.
Primes around the 1101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
Questions
What is the 1101st prime number?
8837.
Which prime number is 8837?
8837 is the 1101st prime number.
What is the sum of the first 1101 primes?
4,531,152.