recognition /
NumberTheory /
NumberTheory.Primes.ArithmeticFunctions /
explainer
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formal statement (Lean)
2094 theorem sigma_two_fortyfive : sigma 2 45 = 2366 := by native_decide
proof body
Term-mode proof.
2095
2096 -- Note: σ_2(360) and σ_3 values for large numbers require careful computation
2097 -- Leaving those for future sessions when we can verify the exact values
2098
2099 /-! ### Balanced primes ((p_{n-1} + p_{n+1})/2 = p_n) -/
2100
2101 /-- 5 is a balanced prime: (3 + 7)/2 = 5. -/
depends on (10)
Lean names referenced from this declaration's body.
sigma
in IndisputableMonolith.Decision.AbileneParadox
decl_use
balanced
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
future
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
sigma
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use