Tools / Deep AI / bcalc

bcalc

$0.15 per call

Mathematical Discovery Engine. Explore number theory computationally. Analyze primes, discover sequence patterns, test conjectures. Research-grade mathematics meets AI—find patterns that would take hours by hand.

Capabilities

bCalc is a mathematical discovery engine that explores number theory computationally. Give it a mathematical question—prime distribution, sequence patterns, modular arithmetic—and it will analyze thousands of cases to find patterns.

It's like having a research mathematician who can test conjectures at computational scale. Works with Claude, Cursor, and any MCP client.

Pattern Discovery

Feed it a sequence, get back patterns. Find connections between numbers that would take hours to spot manually.

Conjecture Testing

Test mathematical claims against thousands of cases. Find counterexamples or build confidence in conjectures.

Prime Analysis

Compute residues, find patterns in prime gaps, analyze digit sums. Number theory made computational.

Symbolic Computation

Not just numeric—bCalc can reason about mathematical structures and relationships.

Example: Prime Residue Patterns

bcalc

// Query

"Analyze p mod digit_sum(p) for first 1000 primes"

// bcalc response

Pattern Found:

For primes p > 3:

  • • p mod digit_sum(p) is bounded by digit_sum(p) - 1
  • • Distribution is non-uniform—residue 0 is rare
  • • Primes ≡ 1 mod 9 show clustering

Confidence: Verified for n=1000, suggest testing n=10000

Use Cases

Math Enthusiasts

Explore number theory recreationally. Find interesting patterns without writing code from scratch.

Researchers

Quick conjecture testing. Generate computational evidence before attempting formal proofs.

Educators

Demonstrate mathematical concepts interactively. Generate examples for teaching.

Ready to discover patterns?

Mathematical discovery at your fingertips for $0.15 per call.

Get Started