What is the 1097th prime number?
The 1097th prime number is 8807. The next prime is 8819 (a gap of 12) and the one before is 8803.
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 1097th one is 8807.
- 2
8807 is prime because no prime up to ā8807 ā 93.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1097th prime is close to 1097 Ć ln(1097) ā 7679, and here it is 8807.
- 4
8807 has no twin: neither 8805 nor 8809 is prime.
Primes around the 1097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1094 | 8779 | 18 |
| 1095 | 8783 | 4 |
| 1096 | 8803 | 20 |
| 1097 | 8807 | 4 |
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
Questions
What is the 1097th prime number?
8807.
Which prime number is 8807?
8807 is the 1097th prime number.
What is the sum of the first 1097 primes?
4,495,844.