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ABSTRACT  Very massive high‐redshift clusters can be used to constrain and test the Λ cold dark matter (ΛCDM) model. Taking into account the observational constraints of Jee et al., we have calculated the probability for the  most massive cluster  to be found in the range (5.2–7.6) × 10 14  M ⊙ , between redshifts 1.4 ≤ z ≤ 2.2, with a sky area of 11 deg 2  and under non‐Gaussian initial conditions. Clusters constrain the non‐Gaussianity on smaller scales than current cosmic microwave background or halo bias data and so can be used to test for running of the non‐Gaussianity parameter  f  NL .

Probability of the most massive cluster under non‐Gaussian initial conditions